Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19096g |
Isogeny class |
Conductor |
19096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-53774336 = -1 · 211 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11- -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1232,-16244] |
[a1,a2,a3,a4,a6] |
Generators |
[41:22:1] |
Generators of the group modulo torsion |
j |
-101059779746/26257 |
j-invariant |
L |
2.3454861720081 |
L(r)(E,1)/r! |
Ω |
0.40288466852538 |
Real period |
R |
2.9108655097164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38192a1 |
Quadratic twists by: -4 |