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	12600v	Isogeny class
Conductor	12600	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	433910947680000000 = 211 · 318 · 57 · 7	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-390675,-88483250]	[a1,a2,a3,a4,a6]
Generators	[-414:1516:1]	Generators of the group modulo torsion
j	282678688658/18600435	j-invariant
L	4.5995259448979	L(r)(E,1)/r!
Ω	0.19175050233707	Real period
R	5.9967586640433	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	25200bd4 100800fl4 4200ba3 2520r3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12600v3

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

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Quadratic twists for elliptic curve 12600v3

-4	8	-3	5	-7
25200bd4	100800fl4	4200ba3	2520r3	88200cv4

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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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