Atkin-Lehner |
2+ 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974z |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
16281425554587648 = 214 · 33 · 73 · 135 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1467044,-684026206] |
[a1,a2,a3,a4,a6] |
j |
1018025332500864873583/47467712987136 |
j-invariant |
L |
4.115392618474 |
L(r)(E,1)/r! |
Ω |
0.137179754182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64974j1 |
Quadratic twists by: -7 |