Atkin-Lehner |
2- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65968j |
Isogeny class |
Conductor |
65968 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1.4667758001013E+21 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18480971,-30635311110] |
[a1,a2,a3,a4,a6] |
Generators |
[240263:117749842:1] |
Generators of the group modulo torsion |
j |
-170426890729814954542497/358099560571611376 |
j-invariant |
L |
2.4137081346891 |
L(r)(E,1)/r! |
Ω |
0.036402707254143 |
Real period |
R |
5.5254776282096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8246f1 |
Quadratic twists by: -4 |