Cremona's table of elliptic curves

3630 = 2 · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	3630c	Isogeny class
Conductor	3630	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	8.1009136410682E+22	Discriminant
Eigenvalues	2+ 3+ 5+ -4 11- -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-14784508,17059530448]	[a1,a2,a3,a4,a6]
j	201738262891771037089/45727545600000000	j-invariant
L	0.20402562559297	L(r)(E,1)/r!
Ω	0.10201281279649	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	29040dd2 116160eu2 10890ce2 18150cz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630c2

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

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Quadratic twists for elliptic curve 3630c2

-4	8	-3	5	-11
29040dd2	116160eu2	10890ce2	18150cz2	330d2

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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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