Atkin-Lehner |
2+ 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3264i |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14619377664 = 217 · 38 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3009,-62271] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:15:1] [-31:16:1] |
Generators of the group modulo torsion |
j |
22994537186/111537 |
j-invariant |
L |
3.1605669580311 |
L(r)(E,1)/r! |
Ω |
0.64477585441654 |
Real period |
R |
2.4509036251759 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3264be3 408b3 9792j3 81600dg4 |
Quadratic twists by: -4 8 -3 5 |