Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312x |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
4.375391195176E+22 |
Discriminant |
Eigenvalues |
2- 3- -4 4 11- 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10008240,6869253204] |
[a1,a2,a3,a4,a6] |
j |
27066801716613381357361/10682107410097677312 |
j-invariant |
L |
2.6947638768741 |
L(r)(E,1)/r! |
Ω |
0.10364476449516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1914j1 61248br1 45936bp1 |
Quadratic twists by: -4 8 -3 |