Atkin-Lehner |
2+ 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58656m |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
6 |
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] |
Generators |
[242:3642:1] |
Generators of the group modulo torsion |
j |
-10420227679688/36441873 |
j-invariant |
L |
7.7411387087117 |
L(r)(E,1)/r! |
Ω |
0.30725102648039 |
Real period |
R |
4.1991390543628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58656r1 117312c1 |
Quadratic twists by: -4 8 |