Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232bw |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9404182757376 = 216 · 34 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11777,465375] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:960:1] |
Generators of the group modulo torsion |
j |
1556068/81 |
j-invariant |
L |
7.1943078096454 |
L(r)(E,1)/r! |
Ω |
0.71880636648554 |
Real period |
R |
2.5021717061371 |
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 |
23232cz3 2904d4 69696cp3 192c3 |
Quadratic twists by: -4 8 -3 -11 |