Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34790q |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
2610337187500000 = 25 · 510 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 1 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-54146,-4184860] |
[a1,a2,a3,a4,a6] |
j |
149222774347921/22187500000 |
j-invariant |
L |
3.1608890880006 |
L(r)(E,1)/r! |
Ω |
0.31608890879949 |
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 |
710d1 |
Quadratic twists by: -7 |