Atkin-Lehner |
3- 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48555c |
Isogeny class |
Conductor |
48555 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
63654876675 = 37 · 52 · 132 · 832 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3398,76106] |
[a1,a2,a3,a4,a6] |
Generators |
[60:262:1] [-66:2603:8] |
Generators of the group modulo torsion |
j |
5950404385561/87318075 |
j-invariant |
L |
5.6135374304131 |
L(r)(E,1)/r! |
Ω |
1.1075204557192 |
Real period |
R |
0.63357040059905 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16185e2 |
Quadratic twists by: -3 |