Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350ck |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-25234597531125000 = -1 · 23 · 310 · 56 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68405,10304597] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:4198:1] [-27:3496:1] |
Generators of the group modulo torsion |
j |
-3107661785857/2215383048 |
j-invariant |
L |
9.3273437764379 |
L(r)(E,1)/r! |
Ω |
0.34751529193781 |
Real period |
R |
1.1183373308586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450o4 774b4 |
Quadratic twists by: -3 5 |