Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bs |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-1091629056 = -1 · 212 · 3 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-224,-2124] |
[a1,a2,a3,a4,a6] |
j |
-304821217/266511 |
j-invariant |
L |
1.1900742760083 |
L(r)(E,1)/r! |
Ω |
0.59503713800417 |
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 |
777d1 49728cu1 37296bz1 87024cr1 |
Quadratic twists by: -4 8 -3 -7 |