Atkin-Lehner |
2+ 3- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328be |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
89296896 = 212 · 3 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137,375] |
[a1,a2,a3,a4,a6] |
j |
69934528/21801 |
j-invariant |
L |
3.5351851119347 |
L(r)(E,1)/r! |
Ω |
1.767592619158 |
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 |
107328e1 53664g1 |
Quadratic twists by: -4 8 |