Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328bl |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
409599710208 = 210 · 32 · 13 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7413,246213] |
[a1,a2,a3,a4,a6] |
j |
44001181696000/399999717 |
j-invariant |
L |
1.9010661707997 |
L(r)(E,1)/r! |
Ω |
0.9505330412688 |
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 |
107328s1 26832x1 |
Quadratic twists by: -4 8 |