Atkin-Lehner |
2- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
98600p |
Isogeny class |
Conductor |
98600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
890481250000 = 24 · 58 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- 0 -1 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2583,21338] |
[a1,a2,a3,a4,a6] |
j |
305059840/142477 |
j-invariant |
L |
1.5850055379637 |
L(r)(E,1)/r! |
Ω |
0.79250291531489 |
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 |
98600d1 |
Quadratic twists by: 5 |