Atkin-Lehner |
31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79763f |
Isogeny class |
Conductor |
79763 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
17034106517 = 313 · 833 |
Discriminant |
Eigenvalues |
-2 0 -4 1 0 -3 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2387,44446] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1286:1] |
Generators of the group modulo torsion |
j |
50488897536/571787 |
j-invariant |
L |
1.0864784324616 |
L(r)(E,1)/r! |
Ω |
1.2379311093347 |
Real period |
R |
0.14627610302941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79763c1 |
Quadratic twists by: -31 |