Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23712h |
Isogeny class |
Conductor |
23712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
41984 |
Modular degree for the optimal curve |
Δ |
53449740864 = 26 · 34 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9634,-367024] |
[a1,a2,a3,a4,a6] |
Generators |
[305:5016:1] |
Generators of the group modulo torsion |
j |
1545285546900928/835152201 |
j-invariant |
L |
4.8842436541839 |
L(r)(E,1)/r! |
Ω |
0.48190144146677 |
Real period |
R |
5.0676790251111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23712k1 47424s2 71136be1 |
Quadratic twists by: -4 8 -3 |