Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
58032bp |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-68285494268080128 = -1 · 212 · 316 · 13 · 313 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 1 13- -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63696,-14012624] |
[a1,a2,a3,a4,a6] |
Generators |
[2801:147591:1] |
Generators of the group modulo torsion |
j |
-9571339399168/22868673867 |
j-invariant |
L |
3.878058331994 |
L(r)(E,1)/r! |
Ω |
0.140215155028 |
Real period |
R |
4.6096518970041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3627b1 19344t1 |
Quadratic twists by: -4 -3 |