Atkin-Lehner |
2- 3+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
97812c |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
8050710096 = 24 · 33 · 11 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-504,-575] |
[a1,a2,a3,a4,a6] |
Generators |
[50:315:1] |
Generators of the group modulo torsion |
j |
32774160384/18635903 |
j-invariant |
L |
10.083948983051 |
L(r)(E,1)/r! |
Ω |
1.088743370095 |
Real period |
R |
3.0873357513281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97812a1 |
Quadratic twists by: -3 |