Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616l |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-131153375232 = -1 · 212 · 37 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 11- -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,323,-17173] |
[a1,a2,a3,a4,a6] |
Generators |
[29:132:1] |
Generators of the group modulo torsion |
j |
61952/2187 |
j-invariant |
L |
6.3786956229734 |
L(r)(E,1)/r! |
Ω |
0.50059288799688 |
Real period |
R |
0.30338766081279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11616s1 23232r1 34848ce1 11616z1 |
Quadratic twists by: -4 8 -3 -11 |