Atkin-Lehner |
2- 3- 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370bc |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5677056 |
Modular degree for the optimal curve |
Δ |
-3.4597417622563E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8071123,-1483118971] |
[a1,a2,a3,a4,a6] |
Generators |
[23668:2509569:64] |
Generators of the group modulo torsion |
j |
79762385031477328177271/47458734736025948400 |
j-invariant |
L |
10.650145639077 |
L(r)(E,1)/r! |
Ω |
0.067911293110601 |
Real period |
R |
6.5343486770868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790h1 |
Quadratic twists by: -3 |