Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45968v |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
56800961564672 = 212 · 138 · 17 |
Discriminant |
Eigenvalues |
2- -2 -2 2 -6 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160944,-24903020] |
[a1,a2,a3,a4,a6] |
Generators |
[1044:30758:1] |
Generators of the group modulo torsion |
j |
23320116793/2873 |
j-invariant |
L |
2.4893147140487 |
L(r)(E,1)/r! |
Ω |
0.23836025568938 |
Real period |
R |
2.6108743536637 |
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 |
2873c1 3536l1 |
Quadratic twists by: -4 13 |