Atkin-Lehner |
2+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20672h |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-285529289818112 = -1 · 215 · 176 · 192 |
Discriminant |
Eigenvalues |
2+ 0 4 -2 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8852,-747120] |
[a1,a2,a3,a4,a6] |
j |
2340981560952/8713662409 |
j-invariant |
L |
2.2286305725885 |
L(r)(E,1)/r! |
Ω |
0.27857882157356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20672c2 10336a2 |
Quadratic twists by: -4 8 |