Atkin-Lehner |
2- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
48160l |
Isogeny class |
Conductor |
48160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13568 |
Modular degree for the optimal curve |
Δ |
-20708800 = -1 · 26 · 52 · 7 · 432 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -4 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30,-200] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] |
Generators of the group modulo torsion |
j |
45118016/323575 |
j-invariant |
L |
3.2454933261301 |
L(r)(E,1)/r! |
Ω |
1.073826739372 |
Real period |
R |
1.5111810905436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48160e1 96320h1 |
Quadratic twists by: -4 8 |