Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232q |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1616343911424 = -1 · 210 · 34 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,323,-61235] |
[a1,a2,a3,a4,a6] |
j |
2048/891 |
j-invariant |
L |
0.79032126543091 |
L(r)(E,1)/r! |
Ω |
0.39516063271548 |
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 |
23232dq1 2904n1 69696cx1 2112g1 |
Quadratic twists by: -4 8 -3 -11 |