Atkin-Lehner |
2+ 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50666i |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
347136 |
Modular degree for the optimal curve |
Δ |
-106540008704668 = -1 · 22 · 77 · 114 · 472 |
Discriminant |
Eigenvalues |
2+ -2 -4 7- 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11832,35522] |
[a1,a2,a3,a4,a6] |
Generators |
[19:507:1] |
Generators of the group modulo torsion |
j |
1557265698071/905575132 |
j-invariant |
L |
2.0494260135685 |
L(r)(E,1)/r! |
Ω |
0.3586839647473 |
Real period |
R |
0.7142171852631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7238c1 |
Quadratic twists by: -7 |