Atkin-Lehner |
2- 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cd |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
6606038559062250000 = 24 · 32 · 56 · 74 · 114 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7080805,7248233627] |
[a1,a2,a3,a4,a6] |
Generators |
[-2563:93846:1] |
Generators of the group modulo torsion |
j |
39261927719579642432928721/6606038559062250000 |
j-invariant |
L |
7.8077226628882 |
L(r)(E,1)/r! |
Ω |
0.22975383205984 |
Real period |
R |
1.4159580047209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
117810t2 |
Quadratic twists by: -3 |