Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ff |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
16773120 |
Modular degree for the optimal curve |
Δ |
-1.0291081273131E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21335067,61813601226] |
[a1,a2,a3,a4,a6] |
j |
-2609064081/2500000 |
j-invariant |
L |
2.2369066951043 |
L(r)(E,1)/r! |
Ω |
0.079889548857862 |
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 |
15210bs1 13520o1 121680dv1 |
Quadratic twists by: -4 -3 13 |