Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
69776h |
Isogeny class |
Conductor |
69776 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23940557030555648 = 219 · 78 · 892 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525035,146240794] |
[a1,a2,a3,a4,a6] |
Generators |
[-395:17088:1] |
Generators of the group modulo torsion |
j |
33215461448625/49680512 |
j-invariant |
L |
6.0467703635189 |
L(r)(E,1)/r! |
Ω |
0.37861575665293 |
Real period |
R |
1.9963413625873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8722m2 9968l2 |
Quadratic twists by: -4 -7 |