Atkin-Lehner |
5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8075c |
Isogeny class |
Conductor |
8075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
59931640625 = 510 · 17 · 192 |
Discriminant |
Eigenvalues |
1 2 5+ 4 -4 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5375,149000] |
[a1,a2,a3,a4,a6] |
j |
1099424306161/3835625 |
j-invariant |
L |
4.4603770616721 |
L(r)(E,1)/r! |
Ω |
1.115094265418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129200cl1 72675u1 1615a1 |
Quadratic twists by: -4 -3 5 |