Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150cd |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5.5335313081741E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9496464812,34846616718992] |
[a1,a2,a3,a4,a6] |
Generators |
[172311104:-124509400084:343] |
Generators of the group modulo torsion |
j |
6061632128927892051151882160519/3541460037231445312500000000 |
j-invariant |
L |
11.746493044528 |
L(r)(E,1)/r! |
Ω |
0.012023549729665 |
Real period |
R |
15.264955686734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230g4 |
Quadratic twists by: 5 |