Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600bn |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57802752 |
Modular degree for the optimal curve |
Δ |
2.6775330063193E+27 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11+ 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-397419133,1761138357012] |
[a1,a2,a3,a4,a6] |
Generators |
[44779208332927479412406510724936570249395301774:7467556532715233616408069317479578458071112615625:1203161721054316608083891323712347061069912] |
Generators of the group modulo torsion |
j |
27767067707389964045910016/10710132025277343828125 |
j-invariant |
L |
11.500412190315 |
L(r)(E,1)/r! |
Ω |
0.041448456983693 |
Real period |
R |
69.365743788961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20900d1 16720bg1 |
Quadratic twists by: -4 5 |