Atkin-Lehner |
2+ 3+ 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310b |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
915432710400 = 28 · 39 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 6 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9384,-344512] |
[a1,a2,a3,a4,a6] |
j |
4643254083987/46508800 |
j-invariant |
L |
1.9414358836591 |
L(r)(E,1)/r! |
Ω |
0.48535897079041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310bi1 |
Quadratic twists by: -3 |