Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
41760bk |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-55301608742400000 = -1 · 212 · 311 · 55 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 5 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-545592,155525776] |
[a1,a2,a3,a4,a6] |
Generators |
[272:5220:1] |
Generators of the group modulo torsion |
j |
-6015063504300544/18520396875 |
j-invariant |
L |
6.4331463505607 |
L(r)(E,1)/r! |
Ω |
0.35480802246389 |
Real period |
R |
0.30218906860691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41760bl1 83520ed1 13920j1 |
Quadratic twists by: -4 8 -3 |