Atkin-Lehner |
2- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52976s |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
227934113792 = 212 · 76 · 11 · 43 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40248,3094420] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:686:1] |
Generators of the group modulo torsion |
j |
1760384222493625/55647977 |
j-invariant |
L |
4.1316353112973 |
L(r)(E,1)/r! |
Ω |
0.92644373646783 |
Real period |
R |
2.2298360648541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3311c2 |
Quadratic twists by: -4 |