Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3990u |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-28532385908880 = -1 · 24 · 3 · 5 · 7 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6245,-170503] |
[a1,a2,a3,a4,a6] |
j |
26934982258902479/28532385908880 |
j-invariant |
L |
2.8776108751527 |
L(r)(E,1)/r! |
Ω |
0.35970135939409 |
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 |
31920bx3 127680bz3 11970t4 19950z4 |
Quadratic twists by: -4 8 -3 5 |