Atkin-Lehner |
5+ 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
84175h |
Isogeny class |
Conductor |
84175 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
4045397890625 = 57 · 72 · 134 · 37 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6130,158872] |
[a1,a2,a3,a4,a6] |
j |
1630116669609/258905465 |
j-invariant |
L |
1.4955317485749 |
L(r)(E,1)/r! |
Ω |
0.74776587967705 |
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 |
16835a1 |
Quadratic twists by: 5 |