Atkin-Lehner |
3- 5+ 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
31755c |
Isogeny class |
Conductor |
31755 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
6954345 = 32 · 5 · 29 · 732 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 6 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-76,215] |
[a1,a2,a3,a4,a6] |
j |
48587168449/6954345 |
j-invariant |
L |
2.2689286974558 |
L(r)(E,1)/r! |
Ω |
2.2689286974614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95265g1 |
Quadratic twists by: -3 |