Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330cg |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
389611473189120 = 28 · 37 · 5 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165384,25911360] |
[a1,a2,a3,a4,a6] |
j |
5832972054001/4542720 |
j-invariant |
L |
2.1198938143014 |
L(r)(E,1)/r! |
Ω |
0.52997345433918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110co1 8190k1 |
Quadratic twists by: -3 -7 |