Atkin-Lehner |
5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76705i |
Isogeny class |
Conductor |
76705 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4663296 |
Modular degree for the optimal curve |
Δ |
174198479653394045 = 5 · 2310 · 292 |
Discriminant |
Eigenvalues |
0 -2 5- -2 -3 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-49065455,-132301738086] |
[a1,a2,a3,a4,a6] |
Generators |
[-602115616:5498709:148877] |
Generators of the group modulo torsion |
j |
315335490371584/4205 |
j-invariant |
L |
1.2306215473628 |
L(r)(E,1)/r! |
Ω |
0.057043425410289 |
Real period |
R |
10.786708000885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76705b1 |
Quadratic twists by: -23 |