Atkin-Lehner |
2- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24596g |
Isogeny class |
Conductor |
24596 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-1574144 = -1 · 28 · 11 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 0 -1 1 11- 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,54] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
2122416/6149 |
j-invariant |
L |
4.8474909084166 |
L(r)(E,1)/r! |
Ω |
1.8812708204781 |
Real period |
R |
0.85890361197166 |
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 |
98384i1 |
Quadratic twists by: -4 |