Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880db |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
34283520 |
Modular degree for the optimal curve |
Δ |
-3.1597215403213E+26 |
Discriminant |
Eigenvalues |
2- -3 5- 3 11+ 1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243303052,-1692673696496] |
[a1,a2,a3,a4,a6] |
Generators |
[2206178:3276800000:1] |
Generators of the group modulo torsion |
j |
-6076121652651798651688569/1205338112000000000000 |
j-invariant |
L |
4.4758465470598 |
L(r)(E,1)/r! |
Ω |
0.018910898895498 |
Real period |
R |
2.4654249270209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66880by1 16720bb1 |
Quadratic twists by: -4 8 |