Atkin-Lehner |
2- 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27140g |
Isogeny class |
Conductor |
27140 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-10588331750000 = -1 · 24 · 56 · 233 · 592 |
Discriminant |
Eigenvalues |
2- -1 5- -4 -2 -5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18350,975625] |
[a1,a2,a3,a4,a6] |
Generators |
[80:115:1] [-58:1357:1] |
Generators of the group modulo torsion |
j |
-42710593100198656/661770734375 |
j-invariant |
L |
6.398729810826 |
L(r)(E,1)/r! |
Ω |
0.72310525158171 |
Real period |
R |
0.081934819473089 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108560n1 |
Quadratic twists by: -4 |