Atkin-Lehner |
2- 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822u |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
176696989878564 = 22 · 32 · 172 · 198 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14989,-306049] |
[a1,a2,a3,a4,a6] |
j |
7916293657/3755844 |
j-invariant |
L |
3.6163539851913 |
L(r)(E,1)/r! |
Ω |
0.45204424814952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110466i2 1938f2 |
Quadratic twists by: -3 -19 |