Atkin-Lehner |
3- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
51207c |
Isogeny class |
Conductor |
51207 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
251328 |
Modular degree for the optimal curve |
Δ |
2331734259408021 = 314 · 136 · 101 |
Discriminant |
Eigenvalues |
0 3- 3 0 2 13+ -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33349,-323111] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:1093:1] |
Generators of the group modulo torsion |
j |
849816322048/483079869 |
j-invariant |
L |
7.7186165404695 |
L(r)(E,1)/r! |
Ω |
0.3816865844658 |
Real period |
R |
1.4444567226858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
303a1 |
Quadratic twists by: 13 |