Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960bd |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.8098520550191E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-523663016,1787498513520] |
[a1,a2,a3,a4,a6] |
Generators |
[62466666656995088585550649012725008045366512860593500161431186410242:13579308004726110435393839837420862214260133530575165426362271200764723:1114845685113445820602901836272826774341718591828446911246568808] |
Generators of the group modulo torsion |
j |
192161822313144368414/94499714083546875 |
j-invariant |
L |
7.9670533001417 |
L(r)(E,1)/r! |
Ω |
0.03693598517423 |
Real period |
R |
107.84947609439 |
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 |
99960r2 |
Quadratic twists by: -7 |