Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616b |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-4460544 = -1 · 212 · 32 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 11- -1 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,849] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:36:1] [5:12:1] |
Generators of the group modulo torsion |
j |
-937024/9 |
j-invariant |
L |
5.0920396101575 |
L(r)(E,1)/r! |
Ω |
2.4632618540175 |
Real period |
R |
0.25839922387125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11616y1 23232bs1 34848bu1 11616r1 |
Quadratic twists by: -4 8 -3 -11 |