Atkin-Lehner |
5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11515h |
Isogeny class |
Conductor |
11515 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
967663025 = 52 · 77 · 47 |
Discriminant |
Eigenvalues |
1 0 5- 7- 6 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-254,503] |
[a1,a2,a3,a4,a6] |
Generators |
[142:223:8] |
Generators of the group modulo torsion |
j |
15438249/8225 |
j-invariant |
L |
5.7436618032331 |
L(r)(E,1)/r! |
Ω |
1.3711714981344 |
Real period |
R |
2.0944359662697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635y1 57575k1 1645a1 |
Quadratic twists by: -3 5 -7 |