Atkin-Lehner |
2- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
58100n |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
-1992830000 = -1 · 24 · 54 · 74 · 83 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-2138] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1274:1] |
Generators of the group modulo torsion |
j |
-409600/199283 |
j-invariant |
L |
3.8283193998265 |
L(r)(E,1)/r! |
Ω |
0.66225007264744 |
Real period |
R |
2.8903880556567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58100j1 |
Quadratic twists by: 5 |