Atkin-Lehner |
2+ 3- 7- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
119574p |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
146411196212736 = 29 · 316 · 7 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -1 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16560,-573696] |
[a1,a2,a3,a4,a6] |
j |
688956707900161/200838403584 |
j-invariant |
L |
0.86050589158309 |
L(r)(E,1)/r! |
Ω |
0.43025312839243 |
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 |
39858q1 |
Quadratic twists by: -3 |