Atkin-Lehner |
13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48841b |
Isogeny class |
Conductor |
48841 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.3974415409285E+19 |
Discriminant |
Eigenvalues |
1 0 4 -2 6 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-572303575,5269866237468] |
[a1,a2,a3,a4,a6] |
Generators |
[15496386044611477473576020:-7706736802866875912467501:1121887902125259368000] |
Generators of the group modulo torsion |
j |
177930109857804849/634933 |
j-invariant |
L |
8.6745177713019 |
L(r)(E,1)/r! |
Ω |
0.12949119238882 |
Real period |
R |
33.494624658755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3757b2 2873b2 |
Quadratic twists by: 13 17 |