Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ba |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-2539539843750 = -1 · 2 · 36 · 58 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39510,3033666] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:2211:1] |
Generators of the group modulo torsion |
j |
-27279055902727/10156250 |
j-invariant |
L |
3.5946858234488 |
L(r)(E,1)/r! |
Ω |
0.79782278480754 |
Real period |
R |
1.1264048519636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370u1 57330cw1 |
Quadratic twists by: -3 -7 |