Atkin-Lehner |
2- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
58100g |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-79713200 = -1 · 24 · 52 · 74 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-313,2282] |
[a1,a2,a3,a4,a6] |
Generators |
[11:7:1] |
Generators of the group modulo torsion |
j |
-8505180160/199283 |
j-invariant |
L |
5.4947451208794 |
L(r)(E,1)/r! |
Ω |
1.9258932681533 |
Real period |
R |
0.23775742628718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58100q1 |
Quadratic twists by: 5 |