Atkin-Lehner |
2+ 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990i |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-636080602950 = -1 · 2 · 36 · 52 · 135 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-990,40450] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:235:1] [70:1405:8] |
Generators of the group modulo torsion |
j |
-147281603041/872538550 |
j-invariant |
L |
7.3471381034375 |
L(r)(E,1)/r! |
Ω |
0.78742621179648 |
Real period |
R |
0.46652867236119 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6110d1 |
Quadratic twists by: -3 |