Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8892h |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-19213442352 = -1 · 24 · 39 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-660,-9331] |
[a1,a2,a3,a4,a6] |
j |
-2725888000/1647243 |
j-invariant |
L |
1.8332604421696 |
L(r)(E,1)/r! |
Ω |
0.45831511054239 |
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 |
35568bg1 2964a1 115596k1 |
Quadratic twists by: -4 -3 13 |