Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616k |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-7902125789184 = -1 · 212 · 32 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11- 1 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19521,1051983] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:1452:1] |
Generators of the group modulo torsion |
j |
-937024/9 |
j-invariant |
L |
4.9038772334967 |
L(r)(E,1)/r! |
Ω |
0.74270139365194 |
Real period |
R |
0.27511489786987 |
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 |
11616r1 23232k1 34848bt1 11616y1 |
Quadratic twists by: -4 8 -3 -11 |