Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5880i |
Isogeny class |
Conductor |
5880 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-55553299200 = -1 · 28 · 311 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,719,8819] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:90:1] |
Generators of the group modulo torsion |
j |
3272428544/4428675 |
j-invariant |
L |
4.4793348973533 |
L(r)(E,1)/r! |
Ω |
0.75368607536936 |
Real period |
R |
0.067536783002821 |
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 |
11760a1 47040ba1 17640cn1 29400cm1 |
Quadratic twists by: -4 8 -3 5 |