Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bj |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
8501738276367 = 36 · 79 · 172 |
Discriminant |
Eigenvalues |
1 3- -4 7- 0 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5154,-23311] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:363:1] |
Generators of the group modulo torsion |
j |
610929/343 |
j-invariant |
L |
6.0633999393591 |
L(r)(E,1)/r! |
Ω |
0.60596520411978 |
Real period |
R |
2.5015462929652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998338096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14161c1 18207f1 127449bv1 |
Quadratic twists by: -3 -7 17 |