Atkin-Lehner |
13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48841c |
Isogeny class |
Conductor |
48841 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1462272 |
Modular degree for the optimal curve |
Δ |
9.6735773996757E+19 |
Discriminant |
Eigenvalues |
1 2 -2 0 0 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3615251,2601625616] |
[a1,a2,a3,a4,a6] |
Generators |
[-1106845173580788:61168814723740447:848740151232] |
Generators of the group modulo torsion |
j |
9129329/169 |
j-invariant |
L |
8.4934772024042 |
L(r)(E,1)/r! |
Ω |
0.18985779813912 |
Real period |
R |
22.367996694534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3757c1 48841d1 |
Quadratic twists by: 13 17 |