Atkin-Lehner |
2- 7- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
79856g |
Isogeny class |
Conductor |
79856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
1880768512 = 214 · 7 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 0 0 7- 2 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38275,2882178] |
[a1,a2,a3,a4,a6] |
Generators |
[162:966:1] |
Generators of the group modulo torsion |
j |
1513942435265625/459172 |
j-invariant |
L |
6.7832700606493 |
L(r)(E,1)/r! |
Ω |
1.1905794761743 |
Real period |
R |
2.8487262687447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9982a1 |
Quadratic twists by: -4 |