Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18032x |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
77584338944 = 212 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2891,-58310] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:34:1] [-27:8:1] |
Generators of the group modulo torsion |
j |
5545233/161 |
j-invariant |
L |
6.2133744302291 |
L(r)(E,1)/r! |
Ω |
0.65224144324465 |
Real period |
R |
4.7630938623896 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1127a1 72128bw1 2576l1 |
Quadratic twists by: -4 8 -7 |