Atkin-Lehner |
2- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58604f |
Isogeny class |
Conductor |
58604 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-179050005389755136 = -1 · 28 · 712 · 133 · 23 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,80883,18305449] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:3479:1] [600:16807:1] |
Generators of the group modulo torsion |
j |
1942951190528/5944921619 |
j-invariant |
L |
6.531617856689 |
L(r)(E,1)/r! |
Ω |
0.2260371855803 |
Real period |
R |
7.2240523610306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8372e2 |
Quadratic twists by: -7 |