Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232bw |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2089818390528 = 217 · 32 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-186017,30817983] |
[a1,a2,a3,a4,a6] |
Generators |
[649:13560:1] |
Generators of the group modulo torsion |
j |
3065617154/9 |
j-invariant |
L |
7.1943078096454 |
L(r)(E,1)/r! |
Ω |
0.71880636648554 |
Real period |
R |
5.0043434122743 |
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 |
23232cz6 2904d5 69696cp6 192c5 |
Quadratic twists by: -4 8 -3 -11 |