Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450be |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-7.5181877133926E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-497506063,-4271367754219] |
[a1,a2,a3,a4,a6] |
Generators |
[38029:5620888:1] |
Generators of the group modulo torsion |
j |
-871563068987385209299047721/481164013657128960 |
j-invariant |
L |
8.3558830357114 |
L(r)(E,1)/r! |
Ω |
0.015983428778296 |
Real period |
R |
4.8405938701076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690p3 |
Quadratic twists by: 5 |