Atkin-Lehner |
2- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
58100l |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-1626800 = -1 · 24 · 52 · 72 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -4 -4 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27,22] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] [13:49:1] |
Generators of the group modulo torsion |
j |
5242880/4067 |
j-invariant |
L |
8.1586887856944 |
L(r)(E,1)/r! |
Ω |
1.7115972102349 |
Real period |
R |
0.79445178816132 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58100m1 |
Quadratic twists by: 5 |