Atkin-Lehner |
2+ 3- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
32706b |
Isogeny class |
Conductor |
32706 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
499149029376 = 214 · 36 · 232 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 6 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2403,30613] |
[a1,a2,a3,a4,a6] |
Generators |
[6:125:1] |
Generators of the group modulo torsion |
j |
2105518942513/684703744 |
j-invariant |
L |
4.9691299158461 |
L(r)(E,1)/r! |
Ω |
0.85878315790492 |
Real period |
R |
1.4465612972571 |
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 |
3634d1 |
Quadratic twists by: -3 |