Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74366g |
Isogeny class |
Conductor |
74366 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-27988911891568 = -1 · 24 · 198 · 103 |
Discriminant |
Eigenvalues |
2- 0 -2 4 2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8371,391555] |
[a1,a2,a3,a4,a6] |
Generators |
[1753:72406:1] |
Generators of the group modulo torsion |
j |
-1378749897/594928 |
j-invariant |
L |
10.014928774934 |
L(r)(E,1)/r! |
Ω |
0.62287652607531 |
Real period |
R |
4.0196284318857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3914a1 |
Quadratic twists by: -19 |