Atkin-Lehner |
2- 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710cj |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
deg |
79626240 |
Modular degree for the optimal curve |
Δ |
1.035621682515E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-605786200,5525820002585] |
[a1,a2,a3,a4,a6] |
j |
1018563973439611524445729/42904970360310988800 |
j-invariant |
L |
4.6815509591032 |
L(r)(E,1)/r! |
Ω |
0.048766154699515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630w1 |
Quadratic twists by: 17 |