Atkin-Lehner |
2- 3+ 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450bk |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2682720 |
Modular degree for the optimal curve |
Δ |
273048904863281250 = 2 · 33 · 510 · 113 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 11+ -2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-302513,58774781] |
[a1,a2,a3,a4,a6] |
j |
313513239758425/27960207858 |
j-invariant |
L |
0.30153925564015 |
L(r)(E,1)/r! |
Ω |
0.30154110568782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450bf1 |
Quadratic twists by: 5 |