Cremona's table of elliptic curves

13650 = 2 · 3 · 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	13650bm	Isogeny class
Conductor	13650	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	34560	Modular degree for the optimal curve
Δ	3992625000000 = 26 · 33 · 59 · 7 · 132	Discriminant
Eigenvalues	2+ 3- 5- 7+ -4 13+  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4826,-86452]	[a1,a2,a3,a4,a6]
Generators	[-48:211:1]	Generators of the group modulo torsion
j	6362477477/2044224	j-invariant
L	3.8441491789546	L(r)(E,1)/r!
Ω	0.58739605679226	Real period
R	1.0907317514601	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	109200eu1 40950ez1 13650cj1 95550cu1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 13650bm1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	-	+	-4	+	0	4	-4	0	2	12	-10	12	4	-10	-12	-12	2	10	2	8	6	14	-18

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Quadratic twists for elliptic curve 13650bm1

-4	-3	5	-7
109200eu1	40950ez1	13650cj1	95550cu1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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