Atkin-Lehner |
2- 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
99180i |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-1542447360 = -1 · 28 · 37 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -6 3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177,-1658] |
[a1,a2,a3,a4,a6] |
j |
3286064/8265 |
j-invariant |
L |
1.5545275421019 |
L(r)(E,1)/r! |
Ω |
0.77726385422815 |
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 |
33060l1 |
Quadratic twists by: -3 |