Atkin-Lehner |
3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
75705i |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
164864 |
Modular degree for the optimal curve |
Δ |
187038968445 = 32 · 5 · 79 · 103 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- -4 -7 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1486,-6819] |
[a1,a2,a3,a4,a6] |
Generators |
[362:1025:8] |
Generators of the group modulo torsion |
j |
8998912/4635 |
j-invariant |
L |
6.7240727277659 |
L(r)(E,1)/r! |
Ω |
0.81292802073446 |
Real period |
R |
2.0678561198202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75705ba1 |
Quadratic twists by: -7 |