Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52560s |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
8719073280000000 = 221 · 36 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58323,-3034478] |
[a1,a2,a3,a4,a6] |
Generators |
[-24906:317267:216] |
Generators of the group modulo torsion |
j |
7347774183121/2920000000 |
j-invariant |
L |
5.7673223493193 |
L(r)(E,1)/r! |
Ω |
0.31791133228754 |
Real period |
R |
9.0706460632334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6570d1 5840h1 |
Quadratic twists by: -4 -3 |