Atkin-Lehner |
5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
18605c |
Isogeny class |
Conductor |
18605 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
219600 |
Modular degree for the optimal curve |
Δ |
23963414124660125 = 53 · 618 |
Discriminant |
Eigenvalues |
2 -2 5- 4 1 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-75660,2923431] |
[a1,a2,a3,a4,a6] |
j |
249856/125 |
j-invariant |
L |
4.0267226525417 |
L(r)(E,1)/r! |
Ω |
0.33556022104514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93025c1 18605d1 |
Quadratic twists by: 5 61 |