Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400cg |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-2.1134948730469E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5857950,-5461639625] |
[a1,a2,a3,a4,a6] |
Generators |
[174771357787808658157989490557478409805708179388355424127:5077405709493681371997667755313878025038480535987956492922:54544663182515061122804523696245372765470829294270737] |
Generators of the group modulo torsion |
j |
-121981271658244096/115966796875 |
j-invariant |
L |
8.6739745383057 |
L(r)(E,1)/r! |
Ω |
0.048518613974573 |
Real period |
R |
89.388111363316 |
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 |
34200y1 7600f1 13680r1 |
Quadratic twists by: -4 -3 5 |