Atkin-Lehner |
2- 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
117300h |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-9746163750000 = -1 · 24 · 3 · 57 · 173 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -5 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2758,161137] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:425:1] [72:575:1] |
Generators of the group modulo torsion |
j |
-9283760896/38984655 |
j-invariant |
L |
8.8602597306467 |
L(r)(E,1)/r! |
Ω |
0.63292289048233 |
Real period |
R |
0.19442994522169 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23460m1 |
Quadratic twists by: 5 |