Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680fj |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
374732135571456000 = 216 · 36 · 53 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-791427,269391746] |
[a1,a2,a3,a4,a6] |
j |
3803721481/26000 |
j-invariant |
L |
3.6357703708517 |
L(r)(E,1)/r! |
Ω |
0.30298080162213 |
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 |
15210v1 13520t1 9360br1 |
Quadratic twists by: -4 -3 13 |