Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616u |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-909193450176 = -1 · 26 · 36 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,686,45124] |
[a1,a2,a3,a4,a6] |
Generators |
[15:242:1] |
Generators of the group modulo torsion |
j |
314432/8019 |
j-invariant |
L |
2.9294054244506 |
L(r)(E,1)/r! |
Ω |
0.66455748872532 |
Real period |
R |
1.1020135481693 |
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 |
11616bc1 23232dp2 34848v1 1056b1 |
Quadratic twists by: -4 8 -3 -11 |