Atkin-Lehner |
3- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13113f |
Isogeny class |
Conductor |
13113 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
854350200621 = 39 · 314 · 47 |
Discriminant |
Eigenvalues |
0 3- -1 -3 1 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4098,-90653] |
[a1,a2,a3,a4,a6] |
Generators |
[85:418:1] |
Generators of the group modulo torsion |
j |
10440277590016/1171948149 |
j-invariant |
L |
2.8731340552446 |
L(r)(E,1)/r! |
Ω |
0.60105597856087 |
Real period |
R |
0.29875899227014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4371b1 |
Quadratic twists by: -3 |