Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10404o |
Isogeny class |
Conductor |
10404 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
102816 |
Modular degree for the optimal curve |
Δ |
-177945768489719088 = -1 · 24 · 313 · 178 |
Discriminant |
Eigenvalues |
2- 3- -2 1 0 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-648516,-202037299] |
[a1,a2,a3,a4,a6] |
j |
-370720768/2187 |
j-invariant |
L |
1.3454148477863 |
L(r)(E,1)/r! |
Ω |
0.084088427986642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41616cv1 3468d1 10404l1 |
Quadratic twists by: -4 -3 17 |