Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232cl |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-370412146368 = -1 · 26 · 33 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 11- 2 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1775,-4831] |
[a1,a2,a3,a4,a6] |
Generators |
[40:363:1] |
Generators of the group modulo torsion |
j |
45056/27 |
j-invariant |
L |
5.1766745421674 |
L(r)(E,1)/r! |
Ω |
0.5559086668275 |
Real period |
R |
1.0346772672629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23232dg1 363c1 69696dm1 23232cm1 |
Quadratic twists by: -4 8 -3 -11 |