Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200b |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
350262943770931200 = 212 · 312 · 52 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -5 -1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1781713,915538177] |
[a1,a2,a3,a4,a6] |
Generators |
[496:12393:1] |
Generators of the group modulo torsion |
j |
6108537517191549760/3420536560263 |
j-invariant |
L |
3.7708056676744 |
L(r)(E,1)/r! |
Ω |
0.29938911356467 |
Real period |
R |
3.1487498181846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200bc1 110400ht1 55200cu1 |
Quadratic twists by: -4 8 5 |