Atkin-Lehner |
2- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
50666p |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-233447617371308032 = -1 · 218 · 76 · 115 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11- -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43840,-23502237] |
[a1,a2,a3,a4,a6] |
Generators |
[381:3681:1] |
Generators of the group modulo torsion |
j |
-79202305058625/1984272007168 |
j-invariant |
L |
8.8653345692974 |
L(r)(E,1)/r! |
Ω |
0.13581853214014 |
Real period |
R |
0.72525977040193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1034b1 |
Quadratic twists by: -7 |