Atkin-Lehner |
3- 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
55275s |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
571200 |
Modular degree for the optimal curve |
Δ |
-617620708044140625 = -1 · 37 · 58 · 115 · 672 |
Discriminant |
Eigenvalues |
1 3- 5- 1 11+ -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,26924,-37770577] |
[a1,a2,a3,a4,a6] |
j |
5525932941095/1581109012593 |
j-invariant |
L |
1.9014266151146 |
L(r)(E,1)/r! |
Ω |
0.1358161867936 |
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 |
55275c1 |
Quadratic twists by: 5 |