Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49588g |
Isogeny class |
Conductor |
49588 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
780939710704384 = 28 · 77 · 115 · 23 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11+ 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-541172,-153046424] |
[a1,a2,a3,a4,a6] |
j |
581972233018192/25929211 |
j-invariant |
L |
1.0561316788249 |
L(r)(E,1)/r! |
Ω |
0.17602194650059 |
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 |
7084b1 |
Quadratic twists by: -7 |