Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680eh |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1320476774400000000 = 218 · 36 · 58 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-444225,-99502623] |
[a1,a2,a3,a4,a6] |
Generators |
[-456:2835:1] |
Generators of the group modulo torsion |
j |
36982286260265809/5037219140625 |
j-invariant |
L |
6.6506817565366 |
L(r)(E,1)/r! |
Ω |
0.18659541422135 |
Real period |
R |
2.2276410552441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000104501 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680de2 31920bo2 |
Quadratic twists by: -4 8 |