Atkin-Lehner |
5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4675h |
Isogeny class |
Conductor |
4675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35136 |
Modular degree for the optimal curve |
Δ |
-5524169921875 = -1 · 512 · 113 · 17 |
Discriminant |
Eigenvalues |
0 2 5+ -5 11+ 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-328883,72705418] |
[a1,a2,a3,a4,a6] |
j |
-251784668965666816/353546875 |
j-invariant |
L |
1.2935251048123 |
L(r)(E,1)/r! |
Ω |
0.64676255240616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800cm1 42075bf1 935b1 51425g1 |
Quadratic twists by: -4 -3 5 -11 |