Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
13924a |
Isogeny class |
Conductor |
13924 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48720 |
Modular degree for the optimal curve |
Δ |
-39818423757104 = -1 · 24 · 597 |
Discriminant |
Eigenvalues |
2- 1 3 -1 -6 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32489,-2285212] |
[a1,a2,a3,a4,a6] |
Generators |
[35651182:869842723:54872] |
Generators of the group modulo torsion |
j |
-5619712/59 |
j-invariant |
L |
6.257547477109 |
L(r)(E,1)/r! |
Ω |
0.17768983578466 |
Real period |
R |
8.8040312625032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55696s1 125316l1 236b1 |
Quadratic twists by: -4 -3 -59 |