Atkin-Lehner |
2+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
23072a |
Isogeny class |
Conductor |
23072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-15827392 = -1 · 26 · 74 · 103 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2,-192] |
[a1,a2,a3,a4,a6] |
Generators |
[232665:1917566:3375] |
Generators of the group modulo torsion |
j |
8000/247303 |
j-invariant |
L |
7.8806888456965 |
L(r)(E,1)/r! |
Ω |
1.0168717228824 |
Real period |
R |
7.7499341051178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23072b1 46144l1 |
Quadratic twists by: -4 8 |