Atkin-Lehner |
2- 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040bp |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
1.7573875859583E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33538336,-71975108864] |
[a1,a2,a3,a4,a6] |
j |
1018563973439611524445729/42904970360310988800 |
j-invariant |
L |
3.019141993322 |
L(r)(E,1)/r! |
Ω |
0.062898791587535 |
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 |
6630w1 |
Quadratic twists by: -4 |