Cremona's table of elliptic curves

2145 = 3 · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	3+ 5- 11- 13+	Signs for the Atkin-Lehner involutions
Class	2145b	Isogeny class
Conductor	2145	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	352	Modular degree for the optimal curve
Δ	-57915 = -1 · 34 · 5 · 11 · 13	Discriminant
Eigenvalues	-2 3+ 5- -4 11- 13+  3  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,10,-4]	[a1,a2,a3,a4,a6]
Generators	[2:4:1]	Generators of the group modulo torsion
j	99897344/57915	j-invariant
L	1.289654985216	L(r)(E,1)/r!
Ω	2.0909709848032	Real period
R	0.30838662864979	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	34320cc1 6435e1 10725k1 105105ce1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2145b1

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
-2	+	-	-4	-	+	3	1	-6	0	10	-3	-5	7	-9	4	10	-10	3	-6	-4	6	-14	10	19

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Quadratic twists for elliptic curve 2145b1

-4	-3	5	-7	-11	13
34320cc1	6435e1	10725k1	105105ce1	23595i1	27885g1

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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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