Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23256m |
Isogeny class |
Conductor |
23256 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
2978955180288 = 28 · 38 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132879,18643538] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:5814:1] |
Generators of the group modulo torsion |
j |
1390353619548112/15962337 |
j-invariant |
L |
5.7273518126823 |
L(r)(E,1)/r! |
Ω |
0.72760129104861 |
Real period |
R |
0.6559627141888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46512h1 7752c1 |
Quadratic twists by: -4 -3 |