Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5978k |
Isogeny class |
Conductor |
5978 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
342802432 = 214 · 73 · 61 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 3 -2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1686,27045] |
[a1,a2,a3,a4,a6] |
Generators |
[9:107:1] |
Generators of the group modulo torsion |
j |
1544403549879/999424 |
j-invariant |
L |
3.1339549287398 |
L(r)(E,1)/r! |
Ω |
1.6899138088582 |
Real period |
R |
0.066232349338771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47824p1 53802s1 5978m1 |
Quadratic twists by: -4 -3 -7 |