Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880bh |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6282813600000000 = -1 · 211 · 310 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,34197,-2935802] |
[a1,a2,a3,a4,a6] |
Generators |
[78:454:1] [398:8586:1] |
Generators of the group modulo torsion |
j |
2962308308398/4208203125 |
j-invariant |
L |
8.9847739582702 |
L(r)(E,1)/r! |
Ω |
0.22500808036813 |
Real period |
R |
19.965447337647 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760w3 15960k4 |
Quadratic twists by: -4 -3 |