Atkin-Lehner |
2+ 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050bl |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2052409798828125000 = 23 · 37 · 512 · 113 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38321667,91318789741] |
[a1,a2,a3,a4,a6] |
Generators |
[-6901:168038:1] [3549:838:1] |
Generators of the group modulo torsion |
j |
546398303575251662569/180184125000 |
j-invariant |
L |
7.9320034324668 |
L(r)(E,1)/r! |
Ω |
0.210845696652 |
Real period |
R |
3.1349953855801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31350bh4 18810bj4 |
Quadratic twists by: -3 5 |