Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400dm |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-29376000000 = -1 · 212 · 33 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 3 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,267,8163] |
[a1,a2,a3,a4,a6] |
j |
32768/459 |
j-invariant |
L |
2.6197915318668 |
L(r)(E,1)/r! |
Ω |
0.8732638439556 |
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 |
1275a1 81600gt1 61200fc1 816f1 |
Quadratic twists by: -4 8 -3 5 |