Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840bf |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3831120115200 = -1 · 29 · 38 · 52 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3744,-34344] |
[a1,a2,a3,a4,a6] |
Generators |
[1530:22113:8] |
Generators of the group modulo torsion |
j |
11333009915128/7482656475 |
j-invariant |
L |
4.1150571403246 |
L(r)(E,1)/r! |
Ω |
0.44733964429752 |
Real period |
R |
4.5994773690517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840bs2 127680fu3 |
Quadratic twists by: -4 8 |