Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5840j |
Isogeny class |
Conductor |
5840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-11960320 = -1 · 215 · 5 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- 0 0 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,180] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:16:1] |
Generators of the group modulo torsion |
j |
-1771561/2920 |
j-invariant |
L |
2.9000855853618 |
L(r)(E,1)/r! |
Ω |
2.0231023267562 |
Real period |
R |
0.35837109510073 |
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 |
730e1 23360p1 52560n1 29200x1 |
Quadratic twists by: -4 8 -3 5 |