Atkin-Lehner |
3- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8037b |
Isogeny class |
Conductor |
8037 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
81968985261 = 37 · 192 · 473 |
Discriminant |
Eigenvalues |
2 3- 3 1 5 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1191,-7781] |
[a1,a2,a3,a4,a6] |
j |
256289886208/112440309 |
j-invariant |
L |
6.7687984776993 |
L(r)(E,1)/r! |
Ω |
0.84609980971241 |
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 |
128592q1 2679b1 |
Quadratic twists by: -4 -3 |