Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925u |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
59437705078125 = 37 · 510 · 112 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10018917,-12203661884] |
[a1,a2,a3,a4,a6] |
Generators |
[-40111744680:20037086287:21952000] |
Generators of the group modulo torsion |
j |
9764241639261414409/5218125 |
j-invariant |
L |
8.8265028434419 |
L(r)(E,1)/r! |
Ω |
0.08485830602605 |
Real period |
R |
13.001825125763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18975c4 11385p3 |
Quadratic twists by: -3 5 |