Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ci |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
166100719376793600 = 218 · 34 · 52 · 74 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-220801,34715615] |
[a1,a2,a3,a4,a6] |
Generators |
[-421:7296:1] |
Generators of the group modulo torsion |
j |
4541390686576801/633623960025 |
j-invariant |
L |
7.380946266614 |
L(r)(E,1)/r! |
Ω |
0.31000574091352 |
Real period |
R |
1.4880664247106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000154829 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680ds3 1995c3 |
Quadratic twists by: -4 8 |