Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880m |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7.1885177836094E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,697677,340720238] |
[a1,a2,a3,a4,a6] |
Generators |
[-18214:5975710:343] |
Generators of the group modulo torsion |
j |
25155297018905758/48148401221235 |
j-invariant |
L |
5.8585188404475 |
L(r)(E,1)/r! |
Ω |
0.13401390744296 |
Real period |
R |
10.928938183015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760x5 15960m6 |
Quadratic twists by: -4 -3 |