Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23534g |
Isogeny class |
Conductor |
23534 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13708800 |
Modular degree for the optimal curve |
Δ |
-4.705273001195E+25 |
Discriminant |
Eigenvalues |
2+ 2 4 7+ -4 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-53251593,362317158725] |
[a1,a2,a3,a4,a6] |
Generators |
[535138883703173905217062327418671491026327218494844844695406404678763324518545:67499207129227795676266055191007523775858298586563807322615023080946697297012026:29929672005480043541138769089901978423740794540924604804889211920416299875] |
Generators of the group modulo torsion |
j |
-3515753329334380009/9905620513718272 |
j-invariant |
L |
6.6839683907239 |
L(r)(E,1)/r! |
Ω |
0.056141961388841 |
Real period |
R |
119.05477160711 |
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 |
574d1 |
Quadratic twists by: 41 |