Atkin-Lehner |
2+ 3+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
85608a |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
272640 |
Modular degree for the optimal curve |
Δ |
-1906661376 = -1 · 211 · 33 · 292 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 2 5 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118707,-15742098] |
[a1,a2,a3,a4,a6] |
j |
-3345484207878486/34481 |
j-invariant |
L |
4.6297013343688 |
L(r)(E,1)/r! |
Ω |
0.12860281540351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85608l1 |
Quadratic twists by: -3 |