Atkin-Lehner |
2- 5- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
77350bk |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-7265098750 = -1 · 2 · 54 · 7 · 132 · 173 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -1 13+ 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,337,3367] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:85:8] |
Generators of the group modulo torsion |
j |
6771000575/11624158 |
j-invariant |
L |
5.8940230614557 |
L(r)(E,1)/r! |
Ω |
0.9065517629047 |
Real period |
R |
3.2507923451893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77350p1 |
Quadratic twists by: 5 |