Cremona's table of elliptic curves

13680 = 2⁴ · 3² · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 19-	Signs for the Atkin-Lehner involutions
Class	13680bx	Isogeny class
Conductor	13680	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	9.4118365247891E+21	Discriminant
Eigenvalues	2- 3- 5- -4  0  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-11267067,-13788122326]	[a1,a2,a3,a4,a6]
Generators	[-46734:620540:27]	Generators of the group modulo torsion
j	52974743974734147769/3152005008998400	j-invariant
L	4.4952347675749	L(r)(E,1)/r!
Ω	0.082710226753986	Real period
R	6.7936501687778	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1710s2 54720dr2 4560q2 68400fq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13680bx2

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

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Quadratic twists for elliptic curve 13680bx2

-4	8	-3	5
1710s2	54720dr2	4560q2	68400fq2

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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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