Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2604f |
Isogeny class |
Conductor |
2604 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
14313659367168 = 28 · 32 · 7 · 316 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29828,-1984428] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:90:1] |
Generators of the group modulo torsion |
j |
11464911586546000/55912731903 |
j-invariant |
L |
3.7961522695263 |
L(r)(E,1)/r! |
Ω |
0.3633873303689 |
Real period |
R |
3.4821909959204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10416o4 41664x4 7812j4 65100c4 |
Quadratic twists by: -4 8 -3 5 |