Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344db |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1455910027264 = 224 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11- 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1558177,748121311] |
[a1,a2,a3,a4,a6] |
Generators |
[19389:2816:27] |
Generators of the group modulo torsion |
j |
1596005697643892137/5553856 |
j-invariant |
L |
5.6061852969763 |
L(r)(E,1)/r! |
Ω |
0.56742261737309 |
Real period |
R |
2.4700219682088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999577181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344bk2 28336n2 |
Quadratic twists by: -4 8 |