Atkin-Lehner |
2+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34790b |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-869750 = -1 · 2 · 53 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18,-62] |
[a1,a2,a3,a4,a6] |
j |
-14338681/17750 |
j-invariant |
L |
1.0991353718762 |
L(r)(E,1)/r! |
Ω |
1.0991353718814 |
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 |
34790g1 |
Quadratic twists by: -7 |