Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800cm |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2529792 |
Modular degree for the optimal curve |
Δ |
-22627000000000000 = -1 · 212 · 512 · 113 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 11- 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5262133,-4647884637] |
[a1,a2,a3,a4,a6] |
j |
-251784668965666816/353546875 |
j-invariant |
L |
2.6913664191045 |
L(r)(E,1)/r! |
Ω |
0.049840117829039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675h1 14960p1 |
Quadratic twists by: -4 5 |