Atkin-Lehner |
2+ 3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46176a |
Isogeny class |
Conductor |
46176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
133263936 = 26 · 32 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-482,4200] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:90:1] |
Generators of the group modulo torsion |
j |
193903463872/2082249 |
j-invariant |
L |
5.2861188725669 |
L(r)(E,1)/r! |
Ω |
1.8550194125941 |
Real period |
R |
2.8496299481684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46176v1 92352bj2 |
Quadratic twists by: -4 8 |