Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13464p |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
1535542272 = 210 · 36 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- -4 2 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6147,-185490] |
[a1,a2,a3,a4,a6] |
j |
34410094596/2057 |
j-invariant |
L |
1.0783638108766 |
L(r)(E,1)/r! |
Ω |
0.5391819054383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26928u1 107712cq1 1496c1 |
Quadratic twists by: -4 8 -3 |