Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138i |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10348800 |
Modular degree for the optimal curve |
Δ |
-2.6939517623961E+26 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 6 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58315518,-808057034348] |
[a1,a2,a3,a4,a6] |
j |
-50577879066661513/621261297432576 |
j-invariant |
L |
3.3828953564022 |
L(r)(E,1)/r! |
Ω |
0.023492328863904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104ce1 5046i1 522m1 |
Quadratic twists by: -4 -3 29 |