Atkin-Lehner |
2- 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552cr |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-573803854848 = -1 · 210 · 39 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-593,37065] |
[a1,a2,a3,a4,a6] |
j |
-22559008000/560355327 |
j-invariant |
L |
2.3120301340007 |
L(r)(E,1)/r! |
Ω |
0.77067675961146 |
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 |
111552bb1 27888j1 |
Quadratic twists by: -4 8 |