Atkin-Lehner |
3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5439c |
Isogeny class |
Conductor |
5439 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
4479250377 = 3 · 79 · 37 |
Discriminant |
Eigenvalues |
1 3+ -4 7- 2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-907,9640] |
[a1,a2,a3,a4,a6] |
Generators |
[56:344:1] |
Generators of the group modulo torsion |
j |
2048383/111 |
j-invariant |
L |
2.7598917239198 |
L(r)(E,1)/r! |
Ω |
1.358666588669 |
Real period |
R |
4.0626475206452 |
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 |
87024em1 16317k1 5439g1 |
Quadratic twists by: -4 -3 -7 |