Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578bh |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-2947813344 = -1 · 25 · 33 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 4 6 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,64,-2621] |
[a1,a2,a3,a4,a6] |
j |
9261/928 |
j-invariant |
L |
6.7723263717 |
L(r)(E,1)/r! |
Ω |
0.67723263717002 |
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 |
25578d1 522i1 |
Quadratic twists by: -3 -7 |