Atkin-Lehner |
3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48279m |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
307135333926729 = 34 · 72 · 118 · 192 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48584,4030599] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:2107:1] |
Generators of the group modulo torsion |
j |
7158927499417/173369889 |
j-invariant |
L |
3.1865036517079 |
L(r)(E,1)/r! |
Ω |
0.54382408643638 |
Real period |
R |
1.4648595617566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999639 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4389i2 |
Quadratic twists by: -11 |