Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640bs |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
1145583747221760 = 28 · 38 · 5 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28596,-891900] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:968:1] |
Generators of the group modulo torsion |
j |
5702413264/2525985 |
j-invariant |
L |
4.6645386661605 |
L(r)(E,1)/r! |
Ω |
0.38249005521554 |
Real period |
R |
1.5243986765492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240a1 |
Quadratic twists by: -11 |