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	2145g	Isogeny class
Conductor	2145	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-356874375 = -1 · 3 · 54 · 114 · 13	Discriminant
Eigenvalues	-1 3- 5-  4 11+ 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,145,-600]	[a1,a2,a3,a4,a6]
j	337008232079/356874375	j-invariant
L	1.8431119360256	L(r)(E,1)/r!
Ω	0.92155596801282	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	34320bo3 6435j4 10725b4 105105g3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2145g4

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
-1	-	-	4	+	-	2	4	0	2	4	-6	2	4	0	-6	-4	-2	-12	0	10	-8	-12	-6	-2

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Quadratic twists for elliptic curve 2145g4

-4	-3	5	-7	-11	13
34320bo3	6435j4	10725b4	105105g3	23595o3	27885r3

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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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