Atkin-Lehner |
2- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
50320t |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
503808 |
Modular degree for the optimal curve |
Δ |
132148748962304000 = 212 · 53 · 178 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-446987,113687034] |
[a1,a2,a3,a4,a6] |
Generators |
[453:2040:1] |
Generators of the group modulo torsion |
j |
2411284428241923681/32262878164625 |
j-invariant |
L |
6.9129834480941 |
L(r)(E,1)/r! |
Ω |
0.32973841643368 |
Real period |
R |
0.87354388402354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3145c1 |
Quadratic twists by: -4 |