Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850bc |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-692707674193920000 = -1 · 218 · 33 · 54 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-149475,45744525] |
[a1,a2,a3,a4,a6] |
Generators |
[-490:1525:1] |
Generators of the group modulo torsion |
j |
-5023028944825/9420668928 |
j-invariant |
L |
3.7400606147385 |
L(r)(E,1)/r! |
Ω |
0.25547119551938 |
Real period |
R |
2.4399754126331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850fz2 1650j2 |
Quadratic twists by: 5 -7 |