Atkin-Lehner |
2- 3+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
58656r |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
54144 |
Modular degree for the optimal curve |
Δ |
-18658238976 = -1 · 29 · 33 · 13 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -2 13- 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3640,86008] |
[a1,a2,a3,a4,a6] |
j |
-10420227679688/36441873 |
j-invariant |
L |
3.6869438136325 |
L(r)(E,1)/r! |
Ω |
1.2289812713714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58656m1 117312be1 |
Quadratic twists by: -4 8 |