Atkin-Lehner |
2- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
18544h |
Isogeny class |
Conductor |
18544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39840 |
Modular degree for the optimal curve |
Δ |
-19797382135808 = -1 · 217 · 195 · 61 |
Discriminant |
Eigenvalues |
2- 1 -4 2 3 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4080,190484] |
[a1,a2,a3,a4,a6] |
Generators |
[34:608:1] |
Generators of the group modulo torsion |
j |
1833318007919/4833345248 |
j-invariant |
L |
4.6448342014244 |
L(r)(E,1)/r! |
Ω |
0.47965817159035 |
Real period |
R |
2.4209085117971 |
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 |
2318e1 74176q1 |
Quadratic twists by: -4 8 |