Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720bn |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61102080 |
Modular degree for the optimal curve |
Δ |
-2.8377206025911E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 5 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10858342736,-435501668096064] |
[a1,a2,a3,a4,a6] |
Generators |
[348577981321035614258679102807092039066443313427535689603660517587836030131304538775471635966184296881022749857987597922:132105192618467242007417807268589592407521973643392071446225654917103682982934833419747545850183052208064147866073998122426:1688482353760715256750985877604088634616590126752442631381491246570464261225317243449447243329915896409171014032609] |
Generators of the group modulo torsion |
j |
-34566419909754166339572971333329/692802881491968000 |
j-invariant |
L |
5.4977247502912 |
L(r)(E,1)/r! |
Ω |
0.0073948381413841 |
Real period |
R |
185.86359313005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090bc1 |
Quadratic twists by: -4 |