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	16	Product of Tamagawa factors cp
Δ	127239255 = 34 · 5 · 11 · 134	Discriminant
Eigenvalues	-1 3- 5-  4 11+ 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-325,2162]	[a1,a2,a3,a4,a6]
j	3797146126801/127239255	j-invariant
L	1.8431119360256	L(r)(E,1)/r!
Ω	1.8431119360256	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	34320bo4 6435j3 10725b3 105105g4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2145g3

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 2145g3

-4	-3	5	-7	-11	13
34320bo4	6435j3	10725b3	105105g4	23595o4	27885r4

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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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