Atkin-Lehner |
2+ 3+ 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450a |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
691330339260000000 = 28 · 316 · 57 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-137048750,617476696500] |
[a1,a2,a3,a4,a6] |
Generators |
[101440420:-7718370641:8000] |
Generators of the group modulo torsion |
j |
18219184228131936192280801/44245141712640 |
j-invariant |
L |
3.9688492866217 |
L(r)(E,1)/r! |
Ω |
0.18781195385824 |
Real period |
R |
10.566018636838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000194634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24090l4 |
Quadratic twists by: 5 |