Atkin-Lehner |
2- 3- 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450by |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2985984 |
Modular degree for the optimal curve |
Δ |
104936040000000000 = 212 · 33 · 510 · 113 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1379688,-623683008] |
[a1,a2,a3,a4,a6] |
j |
18588586500610947001/6715906560000 |
j-invariant |
L |
5.0149469509646 |
L(r)(E,1)/r! |
Ω |
0.13930405159744 |
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 |
24090d1 |
Quadratic twists by: 5 |