Atkin-Lehner |
2+ 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550l |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-49215600000000 = -1 · 210 · 34 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8025,433125] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-425:1] [-75:825:1] |
Generators of the group modulo torsion |
j |
-3658671062929/3149798400 |
j-invariant |
L |
5.5205636064929 |
L(r)(E,1)/r! |
Ω |
0.58085420812264 |
Real period |
R |
1.1880269457662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650dx1 6510u1 |
Quadratic twists by: -3 5 |