Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020cd |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
193314147108445440 = 28 · 39 · 5 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-214032,31702804] |
[a1,a2,a3,a4,a6] |
j |
1007878144/179685 |
j-invariant |
L |
3.6393352243137 |
L(r)(E,1)/r! |
Ω |
0.30327793447727 |
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 |
32340y1 97020bn1 |
Quadratic twists by: -3 -7 |