Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7650s |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
1.2276387166205E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13874202,-10555067084] |
[a1,a2,a3,a4,a6] |
Generators |
[-13850:734593:8] |
Generators of the group modulo torsion |
j |
16206164115169540524745/6736014906011025408 |
j-invariant |
L |
3.229866631262 |
L(r)(E,1)/r! |
Ω |
0.081156246201851 |
Real period |
R |
6.6330212448644 |
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 |
61200fn1 2550r1 7650ch1 |
Quadratic twists by: -4 -3 5 |