Cremona's table of elliptic curves

121680 = 2⁴ · 3² · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	121680eg	Isogeny class
Conductor	121680	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	2.3192040128751E+21	Discriminant
Eigenvalues	2- 3- 5+  0  2 13- -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4435743,-2749795958]	[a1,a2,a3,a4,a6]
Generators	[-706:5472:1] [11154:1155622:1]	Generators of the group modulo torsion
j	4877139472/1171875	j-invariant
L	11.919536326835	L(r)(E,1)/r!
Ω	0.10584592136507	Real period
R	28.153036443839	Regulator
r	2	Rank of the group of rational points
S	1.000000000029	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30420o2 40560cy2 121680fo2	Quadratic twists by: -4 -3 13

Hecke Eigenvalues for elliptic curve 121680eg2

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	2	-	-2	-4	0	-10	-4	-8	-10	0	-6	2	14	2	-8	-6	-12	-16	-6	2	4

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Quadratic twists for elliptic curve 121680eg2

-4	-3	13
30420o2	40560cy2	121680fo2

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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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