Atkin-Lehner |
3- 11- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52173m |
Isogeny class |
Conductor |
52173 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
7275964616217 = 39 · 113 · 172 · 312 |
Discriminant |
Eigenvalues |
1 3- 0 2 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5157,60264] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:3471:8] |
Generators of the group modulo torsion |
j |
20808220812625/9980747073 |
j-invariant |
L |
7.0006755021079 |
L(r)(E,1)/r! |
Ω |
0.66298686239375 |
Real period |
R |
1.7598829125127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17391g1 |
Quadratic twists by: -3 |