Atkin-Lehner |
2+ 3+ 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450l |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-3387656250 = -1 · 2 · 33 · 57 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11- -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,250,-2250] |
[a1,a2,a3,a4,a6] |
j |
109902239/216810 |
j-invariant |
L |
1.4720878270105 |
L(r)(E,1)/r! |
Ω |
0.73604425159237 |
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 |
24090n1 |
Quadratic twists by: 5 |