Atkin-Lehner |
2+ 3+ 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450o |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2794816406250 = 2 · 34 · 59 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-97075,11600875] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:4895:1] |
Generators of the group modulo torsion |
j |
51799177172933/1430946 |
j-invariant |
L |
3.5063387611432 |
L(r)(E,1)/r! |
Ω |
0.7492128826632 |
Real period |
R |
2.3400149592241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000156838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120450cp2 |
Quadratic twists by: 5 |