Cremona's table of elliptic curves

12120 = 2³ · 3 · 5 · 101

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 101+	Signs for the Atkin-Lehner involutions
Class	12120i	Isogeny class
Conductor	12120	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	14101862400 = 211 · 33 · 52 · 1012	Discriminant
Eigenvalues	2+ 3- 5- -4  2  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1320,-18000]	[a1,a2,a3,a4,a6]
Generators	[-21:30:1]	Generators of the group modulo torsion
j	124292385362/6885675	j-invariant
L	5.5995180233445	L(r)(E,1)/r!
Ω	0.79474114372729	Real period
R	2.3485710064383	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	24240e2 96960j2 36360s2 60600u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12120i2

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

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Quadratic twists for elliptic curve 12120i2

-4	8	-3	5
24240e2	96960j2	36360s2	60600u2

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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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