Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232k |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-123470715456 = -1 · 26 · 32 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 11- -1 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4880,133938] |
[a1,a2,a3,a4,a6] |
j |
-937024/9 |
j-invariant |
L |
2.1006767673919 |
L(r)(E,1)/r! |
Ω |
1.050338383696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23232bq1 11616k1 69696bx1 23232j1 |
Quadratic twists by: -4 8 -3 -11 |