Atkin-Lehner |
3- 13- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
57681m |
Isogeny class |
Conductor |
57681 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
117760 |
Modular degree for the optimal curve |
Δ |
-27689688314847 = -1 · 311 · 13 · 17 · 294 |
Discriminant |
Eigenvalues |
-1 3- 2 0 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7546,-22660] |
[a1,a2,a3,a4,a6] |
Generators |
[7858900:174778671:15625] |
Generators of the group modulo torsion |
j |
65192936149223/37983111543 |
j-invariant |
L |
5.0116660509706 |
L(r)(E,1)/r! |
Ω |
0.39335692056961 |
Real period |
R |
12.740759826763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999597 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19227f1 |
Quadratic twists by: -3 |