Atkin-Lehner |
2+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5978b |
Isogeny class |
Conductor |
5978 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
803777968 = 24 · 77 · 61 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -3 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-132570,-18634076] |
[a1,a2,a3,a4,a6] |
j |
2190162605289625/6832 |
j-invariant |
L |
1.0008011724349 |
L(r)(E,1)/r! |
Ω |
0.25020029310872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47824h1 53802bu1 854b1 |
Quadratic twists by: -4 -3 -7 |