Atkin-Lehner |
2- 3- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
113652z |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1.6932554236769E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-710076,-117665431] |
[a1,a2,a3,a4,a6] |
Generators |
[916:693:1] |
Generators of the group modulo torsion |
j |
3394616387349987328/1451693607404733 |
j-invariant |
L |
6.6849302494752 |
L(r)(E,1)/r! |
Ω |
0.17093144384978 |
Real period |
R |
4.3454265294482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999582338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37884e1 |
Quadratic twists by: -3 |