Atkin-Lehner |
5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
7565a |
Isogeny class |
Conductor |
7565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
1471992896225 = 52 · 174 · 893 |
Discriminant |
Eigenvalues |
1 2 5+ -2 -4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15168,710363] |
[a1,a2,a3,a4,a6] |
j |
385969875028168969/1471992896225 |
j-invariant |
L |
1.7085239820749 |
L(r)(E,1)/r! |
Ω |
0.85426199103747 |
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 |
121040p1 68085k1 37825c1 128605a1 |
Quadratic twists by: -4 -3 5 17 |