Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232i |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
551712055099392 = 220 · 33 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42753,-3195135] |
[a1,a2,a3,a4,a6] |
j |
18609625/1188 |
j-invariant |
L |
1.3333744873962 |
L(r)(E,1)/r! |
Ω |
0.33334362184903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23232dm1 726h1 69696bn1 2112e1 |
Quadratic twists by: -4 8 -3 -11 |