Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096ct |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
72398291391627264 = 214 · 32 · 79 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12516184,-17047559404] |
[a1,a2,a3,a4,a6] |
j |
1311889499494111/438012 |
j-invariant |
L |
0.32106396653527 |
L(r)(E,1)/r! |
Ω |
0.080265991676704 |
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 |
6762g1 54096bl1 |
Quadratic twists by: -4 -7 |