Atkin-Lehner |
2+ 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450bf |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
536544 |
Modular degree for the optimal curve |
Δ |
17475129911250 = 2 · 33 · 54 · 113 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 11+ 2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12101,470198] |
[a1,a2,a3,a4,a6] |
j |
313513239758425/27960207858 |
j-invariant |
L |
2.0227994067775 |
L(r)(E,1)/r! |
Ω |
0.67426641032842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
120450bk1 |
Quadratic twists by: 5 |