Atkin-Lehner |
3+ 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705j |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6013440 |
Modular degree for the optimal curve |
Δ |
1.1140004721784E+21 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 0 -5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-25014565,-48119454132] |
[a1,a2,a3,a4,a6] |
Generators |
[40024:7941307:1] |
Generators of the group modulo torsion |
j |
14713444462000177414144/9468847777528125 |
j-invariant |
L |
3.8000192236577 |
L(r)(E,1)/r! |
Ω |
0.067509997321546 |
Real period |
R |
1.4072061082724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10815h1 |
Quadratic twists by: -7 |