Atkin-Lehner |
2+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25840f |
Isogeny class |
Conductor |
25840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
8346320 = 24 · 5 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 4 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-475,3828] |
[a1,a2,a3,a4,a6] |
j |
742332614656/521645 |
j-invariant |
L |
2.3056362033413 |
L(r)(E,1)/r! |
Ω |
2.305636203341 |
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 |
12920m1 103360bt1 129200k1 |
Quadratic twists by: -4 8 5 |