Atkin-Lehner |
2- 3- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
97812n |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
-58913732592 = -1 · 24 · 36 · 112 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13+ 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2469,-48643] |
[a1,a2,a3,a4,a6] |
Generators |
[91:693:1] |
Generators of the group modulo torsion |
j |
-142705092352/5050903 |
j-invariant |
L |
8.2188420804572 |
L(r)(E,1)/r! |
Ω |
0.33793797359698 |
Real period |
R |
2.0267136568542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10868c1 |
Quadratic twists by: -3 |