Atkin-Lehner |
5+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
68425f |
Isogeny class |
Conductor |
68425 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
2.878275022699E+21 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-224860067,-1297767658534] |
[a1,a2,a3,a4,a6] |
Generators |
[-35424880:20938811:4096] |
Generators of the group modulo torsion |
j |
80471240161095912328124289/184209601452734375 |
j-invariant |
L |
6.3066827844052 |
L(r)(E,1)/r! |
Ω |
0.038987153709423 |
Real period |
R |
8.9868388037988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13685a3 |
Quadratic twists by: 5 |