Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34720s |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
-840996610332760000 = -1 · 26 · 54 · 714 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-542570,-160210400] |
[a1,a2,a3,a4,a6] |
j |
-276001771325723291584/13140572036449375 |
j-invariant |
L |
2.4558890509689 |
L(r)(E,1)/r! |
Ω |
0.087710323249159 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34720y1 69440v1 |
Quadratic twists by: -4 8 |