Atkin-Lehner |
2- 5+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
81650m |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-204125000 = -1 · 23 · 56 · 23 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -4 -3 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-213,-1469] |
[a1,a2,a3,a4,a6] |
j |
-68417929/13064 |
j-invariant |
L |
1.8553290701855 |
L(r)(E,1)/r! |
Ω |
0.61844300864703 |
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 |
3266c1 |
Quadratic twists by: 5 |