Atkin-Lehner |
3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9765g |
Isogeny class |
Conductor |
9765 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-18773059921875 = -1 · 36 · 57 · 73 · 312 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 1 3 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-299613,-63123557] |
[a1,a2,a3,a4,a6] |
Generators |
[8343465308110823777854678:-175111715945283056982100217:9602367020147605308632] |
Generators of the group modulo torsion |
j |
-4080168919667961856/25751796875 |
j-invariant |
L |
7.9797165974322 |
L(r)(E,1)/r! |
Ω |
0.10203031589288 |
Real period |
R |
39.104635360584 |
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 |
1085h1 48825bp1 68355ba1 |
Quadratic twists by: -3 5 -7 |