Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13464l |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-888624 = -1 · 24 · 33 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6,45] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] |
Generators of the group modulo torsion |
j |
55296/2057 |
j-invariant |
L |
5.8665334941789 |
L(r)(E,1)/r! |
Ω |
2.1199484309473 |
Real period |
R |
1.3836500474583 |
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 |
26928f1 107712r1 13464c1 |
Quadratic twists by: -4 8 -3 |