Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dn |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
444713220000000 = 28 · 33 · 57 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-387508,-92971012] |
[a1,a2,a3,a4,a6] |
Generators |
[-358:48:1] |
Generators of the group modulo torsion |
j |
13674725584/945 |
j-invariant |
L |
6.4778151714355 |
L(r)(E,1)/r! |
Ω |
0.19135115760201 |
Real period |
R |
2.8210852638876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cx1 11760q1 8400d1 |
Quadratic twists by: -4 5 -7 |