Cremona's table of elliptic curves

12600 = 2³ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	12600s	Isogeny class
Conductor	12600	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	3.4874399164674E+23	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-45588675,-115019523250]	[a1,a2,a3,a4,a6]
Generators	[-29390:429275:8]	Generators of the group modulo torsion
j	898353183174324196/29899176238575	j-invariant
L	4.6449582573053	L(r)(E,1)/r!
Ω	0.058219898138905	Real period
R	6.6485835109488	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	25200w4 100800en4 4200r3 2520q3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12600s3

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	-6	-2	4	4	-6	0	-6	2	4	8	-2	12	6	4	12	-10	-8	-12	-14	-2

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Quadratic twists for elliptic curve 12600s3

-4	8	-3	5	-7
25200w4	100800en4	4200r3	2520q3	88200bz4

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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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