Atkin-Lehner |
2- 3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93060l |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-957426811643808000 = -1 · 28 · 39 · 53 · 114 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,244257,-7572458] |
[a1,a2,a3,a4,a6] |
j |
8635694590128944/5130244832625 |
j-invariant |
L |
1.3035506805462 |
L(r)(E,1)/r! |
Ω |
0.16294381901528 |
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 |
31020l1 |
Quadratic twists by: -3 |