Atkin-Lehner |
3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23829k |
Isogeny class |
Conductor |
23829 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-18375661863 = -1 · 34 · 136 · 47 |
Discriminant |
Eigenvalues |
1 3- -2 0 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-342,6931] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:102:1] |
Generators of the group modulo torsion |
j |
-912673/3807 |
j-invariant |
L |
5.7977128278915 |
L(r)(E,1)/r! |
Ω |
1.0677734366673 |
Real period |
R |
2.7148609568276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71487j1 141c1 |
Quadratic twists by: -3 13 |