Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120bd |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3414549279559680 = 212 · 38 · 5 · 714 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49683,-3203822] |
[a1,a2,a3,a4,a6] |
Generators |
[263:1386:1] |
Generators of the group modulo torsion |
j |
4542131166481/1143525645 |
j-invariant |
L |
5.4190873564057 |
L(r)(E,1)/r! |
Ω |
0.32569310019746 |
Real period |
R |
4.1596577829679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3195c4 17040bd4 |
Quadratic twists by: -4 -3 |