Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232bc |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-5947392 = -1 · 214 · 3 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 4 5 11- -2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-821,-8787] |
[a1,a2,a3,a4,a6] |
j |
-30908416/3 |
j-invariant |
L |
4.0130971857583 |
L(r)(E,1)/r! |
Ω |
0.44589968730647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23232dw1 1452g1 69696ds1 23232bd1 |
Quadratic twists by: -4 8 -3 -11 |