Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656bi |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-1044457193472 = -1 · 223 · 3 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392,49392] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1792:1] |
Generators of the group modulo torsion |
j |
-13475473/2107392 |
j-invariant |
L |
5.294783670213 |
L(r)(E,1)/r! |
Ω |
0.71577178205224 |
Real period |
R |
1.8493267697122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5082m1 121968ef1 40656bt1 |
Quadratic twists by: -4 -3 -11 |