Atkin-Lehner |
3+ 5- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
79605b |
Isogeny class |
Conductor |
79605 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1296000 |
Modular degree for the optimal curve |
Δ |
-830834724057595875 = -1 · 39 · 53 · 293 · 614 |
Discriminant |
Eigenvalues |
2 3+ 5- -2 -5 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-25677,-43883215] |
[a1,a2,a3,a4,a6] |
Generators |
[1198302:14566343:2744] |
Generators of the group modulo torsion |
j |
-95118559137792/42210777018625 |
j-invariant |
L |
12.476890678278 |
L(r)(E,1)/r! |
Ω |
0.12659050964665 |
Real period |
R |
2.737806313646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79605a1 |
Quadratic twists by: -3 |