Atkin-Lehner |
2+ 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490n |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-7782818057268756480 = -1 · 224 · 32 · 5 · 117 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,494888,7921984] |
[a1,a2,a3,a4,a6] |
j |
7566359979929759/4393197895680 |
j-invariant |
L |
1.12668834931 |
L(r)(E,1)/r! |
Ω |
0.14083603997857 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590t1 |
Quadratic twists by: -11 |