Atkin-Lehner |
2- 3- 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790cl |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
545688576000 = 213 · 36 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 0 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3407,68631] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-186:1] |
Generators of the group modulo torsion |
j |
5997815120809/748544000 |
j-invariant |
L |
11.976450098818 |
L(r)(E,1)/r! |
Ω |
0.89117254100108 |
Real period |
R |
0.17229461744834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7310g1 |
Quadratic twists by: -3 |