Atkin-Lehner |
5+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
70525c |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-153368477229296875 = -1 · 58 · 78 · 133 · 31 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ 3 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10808383,13673359019] |
[a1,a2,a3,a4,a6] |
j |
-8936879525486904180736/9815582542675 |
j-invariant |
L |
1.0935226859893 |
L(r)(E,1)/r! |
Ω |
0.27338066471304 |
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 |
14105f1 |
Quadratic twists by: 5 |