Atkin-Lehner |
2- 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
14910bb |
Isogeny class |
Conductor |
14910 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
20460128981483520 = 232 · 33 · 5 · 7 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-121090,14635535] |
[a1,a2,a3,a4,a6] |
j |
196358078632927952161/20460128981483520 |
j-invariant |
L |
1.4903502155879 |
L(r)(E,1)/r! |
Ω |
0.37258755389698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119280co1 44730g1 74550bg1 104370dm1 |
Quadratic twists by: -4 -3 5 -7 |