Atkin-Lehner |
2- 3- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
97812p |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
22551662680005888 = 28 · 312 · 11 · 133 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3865800,-2925538796] |
[a1,a2,a3,a4,a6] |
j |
34235317799296000000/120840099237 |
j-invariant |
L |
1.9380380060082 |
L(r)(E,1)/r! |
Ω |
0.10766878226888 |
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 |
32604d1 |
Quadratic twists by: -3 |