Cremona's table of elliptic curves

2365 = 5 · 11 · 43

Field	Data	Notes
Atkin-Lehner	5+ 11- 43-	Signs for the Atkin-Lehner involutions
Class	2365b	Isogeny class
Conductor	2365	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	109322125 = 53 · 11 · 433	Discriminant
Eigenvalues	0  1 5+  2 11- -1  3 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-481,-4194]	[a1,a2,a3,a4,a6]
Generators	[-102:39:8]	Generators of the group modulo torsion
j	12332795428864/109322125	j-invariant
L	3.0345339375373	L(r)(E,1)/r!
Ω	1.0198125713902	Real period
R	0.99186001515316	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	37840j2 21285h2 11825e2 115885o2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2365b2

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	1	+	2	-	-1	3	-7	6	-3	-4	2	0	-	-12	12	-3	-10	-4	-12	-10	-10	15	-12	14

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Quadratic twists for elliptic curve 2365b2

-4	-3	5	-7	-11	-43
37840j2	21285h2	11825e2	115885o2	26015a2	101695f2

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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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