Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376bs |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
80586576 = 24 · 37 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444,3575] |
[a1,a2,a3,a4,a6] |
Generators |
[25:90:1] |
Generators of the group modulo torsion |
j |
829898752/6909 |
j-invariant |
L |
6.7815084676469 |
L(r)(E,1)/r! |
Ω |
1.9360064692583 |
Real period |
R |
1.7514167889725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11844c1 15792u1 |
Quadratic twists by: -4 -3 |