Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128440s |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-69460352000 = -1 · 210 · 53 · 134 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 5 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,12700] |
[a1,a2,a3,a4,a6] |
Generators |
[6:112:1] |
Generators of the group modulo torsion |
j |
-676/2375 |
j-invariant |
L |
4.5384839394393 |
L(r)(E,1)/r! |
Ω |
0.88035509796018 |
Real period |
R |
2.5776439450452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999205587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128440h1 |
Quadratic twists by: 13 |