Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40050q |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.7050711851418E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-229267917,-1179208879259] |
[a1,a2,a3,a4,a6] |
Generators |
[909307097118:-297184925548559:8365427] |
Generators of the group modulo torsion |
j |
117005429346029041260169/14969074876416000000 |
j-invariant |
L |
5.2225460474745 |
L(r)(E,1)/r! |
Ω |
0.03912514022206 |
Real period |
R |
11.123593887534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13350l3 8010n3 |
Quadratic twists by: -3 5 |