Atkin-Lehner |
2- 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bf |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3.0886875E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-163949338,-807628090969] |
[a1,a2,a3,a4,a6] |
Generators |
[-7255:-1173:1] |
Generators of the group modulo torsion |
j |
31191243455137987558006489/19767600000000000000 |
j-invariant |
L |
7.9232408690265 |
L(r)(E,1)/r! |
Ω |
0.042192830273963 |
Real period |
R |
2.93416293182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690i2 |
Quadratic twists by: 5 |