Atkin-Lehner |
13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48841b |
Isogeny class |
Conductor |
48841 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
9.5601053325999E+21 |
Discriminant |
Eigenvalues |
1 0 4 -2 6 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35785190,82269972903] |
[a1,a2,a3,a4,a6] |
Generators |
[966480477562:-27725207161:270840023] |
Generators of the group modulo torsion |
j |
43499078731809/82055753 |
j-invariant |
L |
8.6745177713019 |
L(r)(E,1)/r! |
Ω |
0.12949119238882 |
Real period |
R |
16.747312329377 |
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 |
3757b1 2873b1 |
Quadratic twists by: 13 17 |