Atkin-Lehner |
2+ 3- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328bi |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
4185792 = 26 · 32 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,42] |
[a1,a2,a3,a4,a6] |
j |
150568768/65403 |
j-invariant |
L |
2.2209127498382 |
L(r)(E,1)/r! |
Ω |
2.2209132893506 |
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 |
107328j1 53664a2 |
Quadratic twists by: -4 8 |