Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59220l |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1951488 |
Modular degree for the optimal curve |
Δ |
-1.1853390618349E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5340873,4753684073] |
[a1,a2,a3,a4,a6] |
Generators |
[1333:-1701:1] [-2069:83349:1] |
Generators of the group modulo torsion |
j |
-1444484727147822635776/1016237192931135 |
j-invariant |
L |
9.5241279540615 |
L(r)(E,1)/r! |
Ω |
0.22392213553564 |
Real period |
R |
0.32222131290375 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19740l1 |
Quadratic twists by: -3 |