Cremona's table of elliptic curves

13050 = 2 · 3² · 5² · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 29-	Signs for the Atkin-Lehner involutions
Class	13050l	Isogeny class
Conductor	13050	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	48338235843750 = 2 · 37 · 56 · 294	Discriminant
Eigenvalues	2+ 3- 5+  0  4 -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-11142,-302234]	[a1,a2,a3,a4,a6]
Generators	[-51:388:1]	Generators of the group modulo torsion
j	13430356633/4243686	j-invariant
L	3.4674028913459	L(r)(E,1)/r!
Ω	0.47624469568254	Real period
R	0.4550448176615	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	104400eg3 4350o4 522k3	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 13050l3

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
+	-	+	0	4	-6	-2	4	0	-	-4	6	-6	12	-8	-6	-8	10	4	8	-2	4	0	-14	-18

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Quadratic twists for elliptic curve 13050l3

-4	-3	5
104400eg3	4350o4	522k3

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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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