Atkin-Lehner |
2- 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710cy |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
156647520 |
Modular degree for the optimal curve |
Δ |
-3.6113986877445E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6760609085,-213977271288975] |
[a1,a2,a3,a4,a6] |
j |
-16950869189311243954609/1791373816627200 |
j-invariant |
L |
2.2476778869924 |
L(r)(E,1)/r! |
Ω |
0.008324733690272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710bt1 |
Quadratic twists by: 17 |