Atkin-Lehner |
2- 3+ 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590bc |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
216906660 = 22 · 39 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1568,-23489] |
[a1,a2,a3,a4,a6] |
j |
21647657403/11020 |
j-invariant |
L |
3.0349947304644 |
L(r)(E,1)/r! |
Ω |
0.75874868263955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49590j1 |
Quadratic twists by: -3 |