Atkin-Lehner |
2+ 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994i |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
629803512 = 23 · 38 · 132 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -4 1 2 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-302,1500] |
[a1,a2,a3,a4,a6] |
Generators |
[17:32:1] |
Generators of the group modulo torsion |
j |
18117691969/3726648 |
j-invariant |
L |
2.4495464897634 |
L(r)(E,1)/r! |
Ω |
1.5360868375197 |
Real period |
R |
0.79733333747188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994bn1 |
Quadratic twists by: 13 |