Atkin-Lehner |
2- 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117334l |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2062848 |
Modular degree for the optimal curve |
Δ |
-98604396252737536 = -1 · 212 · 7 · 179 · 29 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 5 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-438997,-113005599] |
[a1,a2,a3,a4,a6] |
j |
-78898389569/831488 |
j-invariant |
L |
2.2242965587022 |
L(r)(E,1)/r! |
Ω |
0.092679005540946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117334p1 |
Quadratic twists by: 17 |