Atkin-Lehner |
3- 5+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
79605d |
Isogeny class |
Conductor |
79605 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-1145978929734615 = -1 · 39 · 5 · 292 · 614 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10125,1578280] |
[a1,a2,a3,a4,a6] |
j |
157455252161999/1571987557935 |
j-invariant |
L |
1.4349942844783 |
L(r)(E,1)/r! |
Ω |
0.35874856359586 |
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 |
26535b1 |
Quadratic twists by: -3 |