Atkin-Lehner |
2- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
85100g |
Isogeny class |
Conductor |
85100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
78292000000 = 28 · 56 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 -5 4 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2333,40463] |
[a1,a2,a3,a4,a6] |
j |
351232000/19573 |
j-invariant |
L |
4.2794407830172 |
L(r)(E,1)/r! |
Ω |
1.069860179027 |
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 |
3404a1 |
Quadratic twists by: 5 |