Atkin-Lehner |
3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775bd |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
894240 |
Modular degree for the optimal curve |
Δ |
-202788605373046875 = -1 · 39 · 59 · 74 · 133 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ 0 13- -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-95958,-24469432] |
[a1,a2,a3,a4,a6] |
Generators |
[467:5687:1] |
Generators of the group modulo torsion |
j |
-20837691392/43243551 |
j-invariant |
L |
2.5303932774052 |
L(r)(E,1)/r! |
Ω |
0.12726083453116 |
Real period |
R |
1.1046399689045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775cy1 47775dl1 |
Quadratic twists by: 5 -7 |