Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805g |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
752303125 = 55 · 72 · 173 |
Discriminant |
Eigenvalues |
0 3 5+ 7- -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-238,-506] |
[a1,a2,a3,a4,a6] |
j |
6193152/3125 |
j-invariant |
L |
2.5634385220323 |
L(r)(E,1)/r! |
Ω |
1.2817192550294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805z1 70805bf1 |
Quadratic twists by: -7 17 |