Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150do |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2.4144926310897E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9001699880,-328724394718503] |
[a1,a2,a3,a4,a6] |
Generators |
[1195982810119316700:-95168442613677374287:10642193055936] |
Generators of the group modulo torsion |
j |
7081899276883820886652140721/21197191823010 |
j-invariant |
L |
11.429966385472 |
L(r)(E,1)/r! |
Ω |
0.015499526192504 |
Real period |
R |
30.726655592022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999210088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43050f4 25830k4 |
Quadratic twists by: -3 5 |