Atkin-Lehner |
7- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
64337a |
Isogeny class |
Conductor |
64337 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-154473137 = -1 · 76 · 13 · 101 |
Discriminant |
Eigenvalues |
1 3 2 7- 4 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,89,-526] |
[a1,a2,a3,a4,a6] |
j |
658503/1313 |
j-invariant |
L |
7.6124298875553 |
L(r)(E,1)/r! |
Ω |
0.95155373562519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1313a1 |
Quadratic twists by: -7 |