Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120cc |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-3037842615400560 = -1 · 24 · 311 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3993,2650021] |
[a1,a2,a3,a4,a6] |
j |
2816/1215 |
j-invariant |
L |
4.1989688802862 |
L(r)(E,1)/r! |
Ω |
0.3499140736696 |
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 |
43560bd1 29040z1 87120cj1 |
Quadratic twists by: -4 -3 -11 |