Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
13924b |
Isogeny class |
Conductor |
13924 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20880 |
Modular degree for the optimal curve |
Δ |
-39818423757104 = -1 · 24 · 597 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 2 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4641,-325538] |
[a1,a2,a3,a4,a6] |
Generators |
[174:2026:1] |
Generators of the group modulo torsion |
j |
-16384/59 |
j-invariant |
L |
2.8691704223948 |
L(r)(E,1)/r! |
Ω |
0.26518413087234 |
Real period |
R |
5.4097702093947 |
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 |
55696q1 125316d1 236a1 |
Quadratic twists by: -4 -3 -59 |