Atkin-Lehner |
2+ 3- 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238o |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
688896 |
Modular degree for the optimal curve |
Δ |
-69420108865536 = -1 · 213 · 36 · 11 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 11+ 13+ -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-291276,-60435504] |
[a1,a2,a3,a4,a6] |
j |
-3748962776430234817/95226486784 |
j-invariant |
L |
0.4110100959813 |
L(r)(E,1)/r! |
Ω |
0.10275256023017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582j1 |
Quadratic twists by: -3 |