Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58812k |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
3459456 |
Modular degree for the optimal curve |
Δ |
-3.7264562419733E+20 |
Discriminant |
Eigenvalues |
2- 3+ -4 1 -4 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,111315,928618521] |
[a1,a2,a3,a4,a6] |
Generators |
[-901:9802:1] |
Generators of the group modulo torsion |
j |
730456064/1784469963 |
j-invariant |
L |
1.8592992496041 |
L(r)(E,1)/r! |
Ω |
0.13305724529417 |
Real period |
R |
0.25877183548191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58812i1 |
Quadratic twists by: 13 |