Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880by |
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] |
j |
-6076121652651798651688569/1205338112000000000000 |
j-invariant |
L |
5.0027766498297 |
L(r)(E,1)/r! |
Ω |
0.052112256856359 |
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 |
66880db1 2090c1 |
Quadratic twists by: -4 8 |