Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11088bz |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
45565896453783552 = 232 · 39 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92811,-3600326] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1260:1] |
Generators of the group modulo torsion |
j |
29609739866953/15259926528 |
j-invariant |
L |
4.2170843764516 |
L(r)(E,1)/r! |
Ω |
0.28921207801704 |
Real period |
R |
3.6453218044745 |
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 |
1386g1 44352ek1 3696z1 77616gk1 |
Quadratic twists by: -4 8 -3 -7 |