Atkin-Lehner |
2- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11152u |
Isogeny class |
Conductor |
11152 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
11152 = 24 · 17 · 41 |
Discriminant |
Eigenvalues |
2- -3 -2 3 -4 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-601,5671] |
[a1,a2,a3,a4,a6] |
Generators |
[14:1:1] [30:121:1] |
Generators of the group modulo torsion |
j |
1500469408512/697 |
j-invariant |
L |
3.9372491545278 |
L(r)(E,1)/r! |
Ω |
3.2979021503388 |
Real period |
R |
1.1938647585782 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2788c1 44608br1 100368bm1 |
Quadratic twists by: -4 8 -3 |