Atkin-Lehner |
3- 7- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
67599h |
Isogeny class |
Conductor |
67599 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-400226671374327 = -1 · 310 · 7 · 294 · 372 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 4 0 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-93245,-10978212] |
[a1,a2,a3,a4,a6] |
j |
-122989624963647625/549007779663 |
j-invariant |
L |
0.54627022338997 |
L(r)(E,1)/r! |
Ω |
0.13656755814438 |
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 |
22533a1 |
Quadratic twists by: -3 |