Atkin-Lehner |
2- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5782f |
Isogeny class |
Conductor |
5782 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2464 |
Modular degree for the optimal curve |
Δ |
-4761725626 = -1 · 2 · 79 · 59 |
Discriminant |
Eigenvalues |
2- 0 1 7- -2 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-622,6983] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:779:8] |
Generators of the group modulo torsion |
j |
-658503/118 |
j-invariant |
L |
5.7819829025803 |
L(r)(E,1)/r! |
Ω |
1.318215875554 |
Real period |
R |
2.1931092660185 |
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 |
46256bi1 52038t1 5782g1 |
Quadratic twists by: -4 -3 -7 |