Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47320h |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
14926080 |
Modular degree for the optimal curve |
Δ |
-2.8962345906327E+27 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 0 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,154905344,2480587728956] |
[a1,a2,a3,a4,a6] |
j |
2911986995665436/20516357421875 |
j-invariant |
L |
0.32872673288473 |
L(r)(E,1)/r! |
Ω |
0.032872673296715 |
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 |
94640b1 47320y1 |
Quadratic twists by: -4 13 |