Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578l |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.6020327793073E+26 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-515535697476,-142474071307075376] |
[a1,a2,a3,a4,a6] |
Generators |
[44110783358088722633396799526662526870846239568878894219335765161034882537636417938794040818966893847092161539844598486111646808601500122705:-165956519425811149878561734601935788530411701419023818781297483629494731545538343748591428320159587010860563365065477367623694937268597710574738:3109035564592109911692706938612583589747366951456107620739065619232246948261807563148061552990261817433505625948498530799304454587375] |
Generators of the group modulo torsion |
j |
176678690562294721133446471910833/3033870191363023488 |
j-invariant |
L |
4.7800109266292 |
L(r)(E,1)/r! |
Ω |
0.0056342338564504 |
Real period |
R |
212.09675744808 |
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 |
8526r4 3654g4 |
Quadratic twists by: -3 -7 |