Atkin-Lehner |
2- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192x |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
763959252239409152 = 213 · 172 · 199 |
Discriminant |
Eigenvalues |
2- -2 0 -2 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-422589608,-3343833382604] |
[a1,a2,a3,a4,a6] |
Generators |
[60806:13992360:1] [-40057352850:33277121:3375000] |
Generators of the group modulo torsion |
j |
43311038625059640625/3964502 |
j-invariant |
L |
7.4223277035957 |
L(r)(E,1)/r! |
Ω |
0.033298130523637 |
Real period |
R |
27.863154729294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12274h4 5168j4 |
Quadratic twists by: -4 -19 |