Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658y |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
74902880113867134 = 2 · 39 · 7 · 437 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 0 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-289407,-58581513] |
[a1,a2,a3,a4,a6] |
Generators |
[-87626375850:369016024311:274625000] |
Generators of the group modulo torsion |
j |
424072554697/11849166 |
j-invariant |
L |
7.6549115062606 |
L(r)(E,1)/r! |
Ω |
0.20618810490804 |
Real period |
R |
18.562931915191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1806g1 |
Quadratic twists by: -43 |