Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990s |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-430920 = -1 · 23 · 34 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25,47] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
-1732323601/430920 |
j-invariant |
L |
4.6731829857366 |
L(r)(E,1)/r! |
Ω |
2.8371193752307 |
Real period |
R |
0.27452628104264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31920bz1 127680cc1 11970m1 19950v1 |
Quadratic twists by: -4 8 -3 5 |