Atkin-Lehner |
2- 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
58032v |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-964107436032 = -1 · 219 · 33 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 -6 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14979,707202] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:702:1] [1:832:1] |
Generators of the group modulo torsion |
j |
-3360844835739/8717696 |
j-invariant |
L |
10.080432353387 |
L(r)(E,1)/r! |
Ω |
0.88341913944755 |
Real period |
R |
0.47544590780234 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7254b1 58032w1 |
Quadratic twists by: -4 -3 |