Atkin-Lehner |
2- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126514h |
Isogeny class |
Conductor |
126514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3511680 |
Modular degree for the optimal curve |
Δ |
52144389135260432 = 24 · 17 · 618 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4898774,-4173690092] |
[a1,a2,a3,a4,a6] |
j |
252352098250057/1012112 |
j-invariant |
L |
1.8266277568252 |
L(r)(E,1)/r! |
Ω |
0.10147938058323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2074a1 |
Quadratic twists by: 61 |