Atkin-Lehner |
2- 3- 13- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
91494ba |
Isogeny class |
Conductor |
91494 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
31519222303555584 = 224 · 37 · 133 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-495491,-133850109] |
[a1,a2,a3,a4,a6] |
Generators |
[-405:722:1] |
Generators of the group modulo torsion |
j |
18454516589139899113/43236244586496 |
j-invariant |
L |
7.972362629817 |
L(r)(E,1)/r! |
Ω |
0.17997070611055 |
Real period |
R |
1.2305031314189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30498f1 |
Quadratic twists by: -3 |