Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200dv |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
385024000 = 216 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- -5 -5 1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4993,134143] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-16:1] [33:80:1] |
Generators of the group modulo torsion |
j |
1680758996/47 |
j-invariant |
L |
10.317828198837 |
L(r)(E,1)/r! |
Ω |
1.5721025228709 |
Real period |
R |
0.82038448897486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200bk1 18800m1 75200dl1 |
Quadratic twists by: -4 8 5 |