Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400dj |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16533720000000 = 29 · 310 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84675,-9481750] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:2:1] |
Generators of the group modulo torsion |
j |
11512557512/2835 |
j-invariant |
L |
4.2571461937742 |
L(r)(E,1)/r! |
Ω |
0.27987697490522 |
Real period |
R |
3.8026941973194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400bp4 100800eb4 16800d3 10080bc2 |
Quadratic twists by: -4 8 -3 5 |