Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11968h |
Isogeny class |
Conductor |
11968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-52084736 = -1 · 214 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ -3 -3 -2 11- 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1984,-34016] |
[a1,a2,a3,a4,a6] |
j |
-52714340352/3179 |
j-invariant |
L |
0.71534009219842 |
L(r)(E,1)/r! |
Ω |
0.35767004609921 |
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 |
11968o1 748a1 107712bt1 |
Quadratic twists by: -4 8 -3 |