Atkin-Lehner |
2- 3+ 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
17940d |
Isogeny class |
Conductor |
17940 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
24757200 = 24 · 32 · 52 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85,-158] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:10:1] |
Generators of the group modulo torsion |
j |
4294967296/1547325 |
j-invariant |
L |
4.6901884827752 |
L(r)(E,1)/r! |
Ω |
1.6178670776938 |
Real period |
R |
1.4494974733836 |
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 |
71760cb1 53820n1 89700p1 |
Quadratic twists by: -4 -3 5 |