Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3276d |
Isogeny class |
Conductor |
3276 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9673267968 = 28 · 33 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615,-3474] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:42:1] |
Generators of the group modulo torsion |
j |
3721734000/1399489 |
j-invariant |
L |
3.4522412964613 |
L(r)(E,1)/r! |
Ω |
0.98932821706276 |
Real period |
R |
1.7447401362466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13104bb2 52416bc2 3276c2 81900d2 |
Quadratic twists by: -4 8 -3 5 |