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	121680et	Isogeny class
Conductor	121680	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-1.6056027781443E+25	Discriminant
Eigenvalues	2- 3- 5-  1  6 13+  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-78248352,-328853181904]	[a1,a2,a3,a4,a6]
j	-21752792449024/6591796875	j-invariant
L	3.5987685911627	L(r)(E,1)/r!
Ω	0.024991450868853	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	7605o2 40560bh2 121680dk2	Quadratic twists by: -4 -3 13

Hecke Eigenvalues for elliptic curve 121680et2

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
-	-	-	1	6	+	0	4	-6	6	-5	2	0	-11	6	0	6	-1	-11	-6	5	-11	12	-12	17

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Quadratic twists for elliptic curve 121680et2

-4	-3	13
7605o2	40560bh2	121680dk2

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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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