Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160p |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-3.1911704275358E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-766945,-897257375] |
[a1,a2,a3,a4,a6] |
Generators |
[22112121:1447463936:4913] |
Generators of the group modulo torsion |
j |
-190316752233854329/1217334910406400 |
j-invariant |
L |
6.8274787633296 |
L(r)(E,1)/r! |
Ω |
0.071919725784217 |
Real period |
R |
7.9109946189457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160df1 2130f1 |
Quadratic twists by: -4 8 |