Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600ci |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.02942875E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2574133,-1662031363] |
[a1,a2,a3,a4,a6] |
Generators |
[7815964:406255325:2197] |
Generators of the group modulo torsion |
j |
-250523582464/13671875 |
j-invariant |
L |
4.5140356276296 |
L(r)(E,1)/r! |
Ω |
0.059406842445136 |
Real period |
R |
9.4981391070365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1225a3 78400hn3 3920bc3 2800s3 |
Quadratic twists by: -4 8 5 -7 |