Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11968f |
Isogeny class |
Conductor |
11968 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-3063808 = -1 · 214 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 0 0 3 11- 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80,288] |
[a1,a2,a3,a4,a6] |
j |
-3456000/187 |
j-invariant |
L |
2.4981131181801 |
L(r)(E,1)/r! |
Ω |
2.4981131181801 |
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 |
11968n1 1496b1 107712bh1 |
Quadratic twists by: -4 8 -3 |