Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11424j |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-49968576 = -1 · 26 · 38 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14,336] |
[a1,a2,a3,a4,a6] |
Generators |
[1:18:1] |
Generators of the group modulo torsion |
j |
-5088448/780759 |
j-invariant |
L |
4.9452786507224 |
L(r)(E,1)/r! |
Ω |
1.640101362011 |
Real period |
R |
0.75380686298847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11424b1 22848cb1 34272bl1 79968r1 |
Quadratic twists by: -4 8 -3 -7 |