Atkin-Lehner |
2+ 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94302p |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
995473722449466 = 2 · 39 · 138 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 -2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25128,-208818] |
[a1,a2,a3,a4,a6] |
j |
2950753/1674 |
j-invariant |
L |
2.4559700872464 |
L(r)(E,1)/r! |
Ω |
0.40932835436857 |
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 |
31434t1 94302ci1 |
Quadratic twists by: -3 13 |