Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48804c |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.5813256526034E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-212181188,-1188714557064] |
[a1,a2,a3,a4,a6] |
Generators |
[-7896960403958937321110:-17553636270803004769537:924016116067688008] |
Generators of the group modulo torsion |
j |
35076490851064314706000/28492212709399887 |
j-invariant |
L |
4.7860055919252 |
L(r)(E,1)/r! |
Ω |
0.03955888230482 |
Real period |
R |
30.24608705478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6972c2 |
Quadratic twists by: -7 |