Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990f |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-1021440 = -1 · 29 · 3 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -1 -5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-142,-716] |
[a1,a2,a3,a4,a6] |
j |
-320153881321/1021440 |
j-invariant |
L |
0.69074381048162 |
L(r)(E,1)/r! |
Ω |
0.69074381048162 |
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 |
31920ca1 127680cd1 11970bq1 19950cs1 |
Quadratic twists by: -4 8 -3 5 |