Atkin-Lehner |
2- 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410bf |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
Δ |
-1.7263104000342E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73193,-200029143] |
[a1,a2,a3,a4,a6] |
Generators |
[1383:-49092:1] |
Generators of the group modulo torsion |
j |
-59483876822615881/23680526749440000 |
j-invariant |
L |
10.233830811605 |
L(r)(E,1)/r! |
Ω |
0.098232238568878 |
Real period |
R |
0.78924213098858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470e2 |
Quadratic twists by: -3 |