Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
13632t |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1486651392 = 215 · 32 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -6 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-289,287] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:24:1] [-1:24:1] |
Generators of the group modulo torsion |
j |
81746504/45369 |
j-invariant |
L |
6.3711702366995 |
L(r)(E,1)/r! |
Ω |
1.3096698581915 |
Real period |
R |
1.2161786798501 |
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 |
13632n2 6816a2 40896bo2 |
Quadratic twists by: -4 8 -3 |