Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120bd |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
30480999321600 = 212 · 310 · 52 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17283,833218] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:994:1] |
Generators of the group modulo torsion |
j |
191202526081/10208025 |
j-invariant |
L |
5.4190873564057 |
L(r)(E,1)/r! |
Ω |
0.65138620039492 |
Real period |
R |
2.0798288914839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3195c2 17040bd2 |
Quadratic twists by: -4 -3 |