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	12600bw	Isogeny class
Conductor	12600	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	5166787500000000000 = 211 · 310 · 514 · 7	Discriminant
Eigenvalues	2- 3- 5+ 7+ -4  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5490075,4950049750]	[a1,a2,a3,a4,a6]
Generators	[57778:4678587:8]	Generators of the group modulo torsion
j	784478485879202/221484375	j-invariant
L	4.3164477541536	L(r)(E,1)/r!
Ω	0.23671887201645	Real period
R	9.1172446822357	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	25200bs6 100800ea6 4200k5 2520g5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12600bw5

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

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Quadratic twists for elliptic curve 12600bw5

-4	8	-3	5	-7
25200bs6	100800ea6	4200k5	2520g5	88200hd6

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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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