Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ew |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4672512 |
Modular degree for the optimal curve |
Δ |
-2.6937544619127E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 1 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1034787,-2529762014] |
[a1,a2,a3,a4,a6] |
j |
-50308609/1105920 |
j-invariant |
L |
0.24852684575304 |
L(r)(E,1)/r! |
Ω |
0.062131647005587 |
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 |
15210r1 40560cc1 121680dn1 |
Quadratic twists by: -4 -3 13 |