Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176j |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
4712256 = 26 · 36 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -2 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,74] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:11:1] [7:9:1] |
Generators of the group modulo torsion |
j |
262144/101 |
j-invariant |
L |
8.9848066363295 |
L(r)(E,1)/r! |
Ω |
2.2237770764208 |
Real period |
R |
2.0201680131519 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176bt1 909c1 6464f1 |
Quadratic twists by: -4 8 -3 |