Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114444j |
Isogeny class |
Conductor |
114444 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-315292092039936 = -1 · 28 · 318 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- -3 4 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23664,1641044] |
[a1,a2,a3,a4,a6] |
Generators |
[3170:59049:8] |
Generators of the group modulo torsion |
j |
-27172077568/5845851 |
j-invariant |
L |
6.3316347699406 |
L(r)(E,1)/r! |
Ω |
0.52001878938161 |
Real period |
R |
3.0439452058499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999469022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38148f1 114444u1 |
Quadratic twists by: -3 17 |