Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330t |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
2246822323200 = 210 · 39 · 52 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10845,-425979] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:96:1] |
Generators of the group modulo torsion |
j |
564174247447/8985600 |
j-invariant |
L |
4.0670541432823 |
L(r)(E,1)/r! |
Ω |
0.46828425680794 |
Real period |
R |
1.0856264342148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cy1 57330co1 |
Quadratic twists by: -3 -7 |