Atkin-Lehner |
5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
35525b |
Isogeny class |
Conductor |
35525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
152880 |
Modular degree for the optimal curve |
Δ |
2612175453125 = 56 · 78 · 29 |
Discriminant |
Eigenvalues |
-2 -2 5+ 7+ 4 5 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-20008,1079894] |
[a1,a2,a3,a4,a6] |
j |
9834496/29 |
j-invariant |
L |
0.81355627523185 |
L(r)(E,1)/r! |
Ω |
0.81355627520152 |
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 |
1421b1 35525o1 |
Quadratic twists by: 5 -7 |