Atkin-Lehner |
2- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38318s |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
-368006072 = -1 · 23 · 76 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -1 4 7- 6 -6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2941,60171] |
[a1,a2,a3,a4,a6] |
j |
-23912763841/3128 |
j-invariant |
L |
4.9060507645717 |
L(r)(E,1)/r! |
Ω |
1.6353502548192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
782b1 |
Quadratic twists by: -7 |