Atkin-Lehner |
2- 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994bn |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
3039941259953208 = 23 · 38 · 138 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 -2 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51126,3550971] |
[a1,a2,a3,a4,a6] |
Generators |
[955:28277:1] |
Generators of the group modulo torsion |
j |
18117691969/3726648 |
j-invariant |
L |
10.874691655333 |
L(r)(E,1)/r! |
Ω |
0.42603383509559 |
Real period |
R |
4.2542363062086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994i1 |
Quadratic twists by: 13 |