Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320bn |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-158806415769600 = -1 · 232 · 3 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6864,563136] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1664:1] |
Generators of the group modulo torsion |
j |
8730363285071/38771097600 |
j-invariant |
L |
4.3429925594123 |
L(r)(E,1)/r! |
Ω |
0.41217597576595 |
Real period |
R |
5.268371768765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790y1 |
Quadratic twists by: -4 |