Atkin-Lehner |
2- 3- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
46992o |
Isogeny class |
Conductor |
46992 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
6929252352 = 218 · 33 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8768,-318924] |
[a1,a2,a3,a4,a6] |
Generators |
[235:3264:1] |
Generators of the group modulo torsion |
j |
18201824322625/1691712 |
j-invariant |
L |
7.3049123123853 |
L(r)(E,1)/r! |
Ω |
0.49336997239075 |
Real period |
R |
4.9353850194703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5874e1 |
Quadratic twists by: -4 |