Atkin-Lehner |
2+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13294d |
Isogeny class |
Conductor |
13294 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-604018526656 = -1 · 26 · 177 · 23 |
Discriminant |
Eigenvalues |
2+ 2 -2 0 0 -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1584,29120] |
[a1,a2,a3,a4,a6] |
j |
18191447/25024 |
j-invariant |
L |
1.2369255799547 |
L(r)(E,1)/r! |
Ω |
0.61846278997734 |
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 |
106352m1 119646by1 782a1 |
Quadratic twists by: -4 -3 17 |