Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40050q |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.9016368865972E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,346732083,-6151816879259] |
[a1,a2,a3,a4,a6] |
Generators |
[4885062:441489469:343] |
Generators of the group modulo torsion |
j |
404723333046222924179831/1669475455997501952000 |
j-invariant |
L |
5.2225460474745 |
L(r)(E,1)/r! |
Ω |
0.01956257011103 |
Real period |
R |
5.5617969437669 |
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 |
13350l4 8010n4 |
Quadratic twists by: -3 5 |