Atkin-Lehner |
5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
55955d |
Isogeny class |
Conductor |
55955 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-2632452271355 = -1 · 5 · 198 · 31 |
Discriminant |
Eigenvalues |
-1 -1 5- -2 2 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2715,-96308] |
[a1,a2,a3,a4,a6] |
Generators |
[69910:212959:1000] |
Generators of the group modulo torsion |
j |
-130321/155 |
j-invariant |
L |
2.9277076504775 |
L(r)(E,1)/r! |
Ω |
0.31626797557881 |
Real period |
R |
9.2570474298934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55955e1 |
Quadratic twists by: -19 |