Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544eh |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
49533022457856 = 212 · 37 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 5 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9669,135603] |
[a1,a2,a3,a4,a6] |
Generators |
[6:279:1] |
Generators of the group modulo torsion |
j |
207474688/102789 |
j-invariant |
L |
11.935796389842 |
L(r)(E,1)/r! |
Ω |
0.56250638757444 |
Real period |
R |
3.0312789387977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6909c1 2256h1 |
Quadratic twists by: -4 -7 |