Atkin-Lehner |
2- 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370bq |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-3768550686720000 = -1 · 224 · 36 · 54 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -4 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-195662,33492061] |
[a1,a2,a3,a4,a6] |
Generators |
[601:11219:1] |
Generators of the group modulo torsion |
j |
-1136353799133524889/5169479680000 |
j-invariant |
L |
8.4925150579495 |
L(r)(E,1)/r! |
Ω |
0.44439500894155 |
Real period |
R |
0.099532731849468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4930d1 |
Quadratic twists by: -3 |