Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13464f |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3078378369792 = -1 · 28 · 312 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 11+ 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1884,-90092] |
[a1,a2,a3,a4,a6] |
j |
-3962770432/16495083 |
j-invariant |
L |
2.6400823387243 |
L(r)(E,1)/r! |
Ω |
0.33001029234054 |
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 |
26928s1 107712ca1 4488k1 |
Quadratic twists by: -4 8 -3 |