Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58812l |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7344 |
Modular degree for the optimal curve |
Δ |
-2117232 = -1 · 24 · 33 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22,-51] |
[a1,a2,a3,a4,a6] |
Generators |
[13:51:1] |
Generators of the group modulo torsion |
j |
416000/783 |
j-invariant |
L |
8.3978339280136 |
L(r)(E,1)/r! |
Ω |
1.3643291543005 |
Real period |
R |
2.0517614588887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58812m1 |
Quadratic twists by: 13 |