Atkin-Lehner |
2- 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
65598bf |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
751680 |
Modular degree for the optimal curve |
Δ |
-118696467881734236 = -1 · 22 · 33 · 133 · 298 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 3 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-136680,25497669] |
[a1,a2,a3,a4,a6] |
j |
-564488161/237276 |
j-invariant |
L |
5.5944013649766 |
L(r)(E,1)/r! |
Ω |
0.31080007582736 |
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 |
65598j1 |
Quadratic twists by: 29 |