Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616bz |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
2.8682221646935E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-958035,252734546] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:20070:1] |
Generators of the group modulo torsion |
j |
274625/81 |
j-invariant |
L |
4.0804659380443 |
L(r)(E,1)/r! |
Ω |
0.19498323618329 |
Real period |
R |
5.2318163575403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2601h1 13872r1 41616by1 |
Quadratic twists by: -4 -3 17 |