Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675y |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-35256308190075 = -1 · 310 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -4 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-25590,1601316] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:283:1] [194:1984:1] |
Generators of the group modulo torsion |
j |
-101687374151680/1934502507 |
j-invariant |
L |
7.7808912345341 |
L(r)(E,1)/r! |
Ω |
0.65311936297098 |
Real period |
R |
0.42547961125795 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15225u1 45675be1 |
Quadratic twists by: -3 5 |