Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488hy |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
49869863780352 = 218 · 3 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106689,13373247] |
[a1,a2,a3,a4,a6] |
j |
4354703137/1617 |
j-invariant |
L |
1.2449860349194 |
L(r)(E,1)/r! |
Ω |
0.62249297760248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488cb1 25872bx1 14784br1 |
Quadratic twists by: -4 8 -7 |