Atkin-Lehner |
2+ 3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994s |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
5804269166592 = 213 · 310 · 132 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 0 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-496721,134704676] |
[a1,a2,a3,a4,a6] |
Generators |
[408:-164:1] |
Generators of the group modulo torsion |
j |
80199805337621334625/34344787968 |
j-invariant |
L |
4.5806704905422 |
L(r)(E,1)/r! |
Ω |
0.61740298114979 |
Real period |
R |
0.74192555431686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994bo1 |
Quadratic twists by: 13 |