Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
94752bk |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-8703350208 = -1 · 26 · 310 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,375,3512] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:56:1] |
Generators of the group modulo torsion |
j |
125000000/186543 |
j-invariant |
L |
6.7490707643208 |
L(r)(E,1)/r! |
Ω |
0.88532438767782 |
Real period |
R |
1.905818607544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752z1 31584d1 |
Quadratic twists by: -4 -3 |