Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990z |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
-900243750 = -1 · 2 · 3 · 55 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,155,-1225] |
[a1,a2,a3,a4,a6] |
j |
411664745519/900243750 |
j-invariant |
L |
4.0899816987323 |
L(r)(E,1)/r! |
Ω |
0.81799633974646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31920bg1 127680f1 11970n1 19950b1 |
Quadratic twists by: -4 8 -3 5 |