Atkin-Lehner |
2- 3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490bq |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
486004490659430400 = 224 · 3 · 52 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-318256,-60446464] |
[a1,a2,a3,a4,a6] |
j |
30301585803604081/4130970009600 |
j-invariant |
L |
4.8676880679501 |
L(r)(E,1)/r! |
Ω |
0.20282034131626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070g1 |
Quadratic twists by: -7 |