Atkin-Lehner |
2- 3- 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
92112r |
Isogeny class |
Conductor |
92112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22080 |
Modular degree for the optimal curve |
Δ |
23580672 = 212 · 3 · 19 · 101 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -5 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-589] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:109:27] |
Generators of the group modulo torsion |
j |
64000000/5757 |
j-invariant |
L |
6.0606901947896 |
L(r)(E,1)/r! |
Ω |
1.413041888448 |
Real period |
R |
4.2891086551982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5757a1 |
Quadratic twists by: -4 |