Atkin-Lehner |
2+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800x |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22016 |
Modular degree for the optimal curve |
Δ |
69938000 = 24 · 53 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-463,-3972] |
[a1,a2,a3,a4,a6] |
j |
5500147712/34969 |
j-invariant |
L |
2.0588395361197 |
L(r)(E,1)/r! |
Ω |
1.0294197811185 |
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 |
37400h1 74800u1 |
Quadratic twists by: -4 5 |