Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800dn |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
575000000 = 26 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- -3 5 -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8375,295000] |
[a1,a2,a3,a4,a6] |
j |
2598592320/23 |
j-invariant |
L |
1.4728126404098 |
L(r)(E,1)/r! |
Ω |
1.4728126404265 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800de1 18400v1 36800bz1 |
Quadratic twists by: -4 8 5 |