Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608bp |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
393361982373888 = 214 · 313 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68619,-6852422] |
[a1,a2,a3,a4,a6] |
Generators |
[4882:106893:8] |
Generators of the group modulo torsion |
j |
11966561852617/131736132 |
j-invariant |
L |
6.0417501232858 |
L(r)(E,1)/r! |
Ω |
0.29517348265146 |
Real period |
R |
5.1171179647455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7326h1 19536bc1 |
Quadratic twists by: -4 -3 |