Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232ch |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
65306824704 = 212 · 32 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1129,7511] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:144:1] |
Generators of the group modulo torsion |
j |
21952/9 |
j-invariant |
L |
4.5682841399655 |
L(r)(E,1)/r! |
Ω |
0.99899040437376 |
Real period |
R |
2.2864504603671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23232u2 11616e1 69696co2 192b2 |
Quadratic twists by: -4 8 -3 -11 |