Atkin-Lehner |
2+ 5- 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
112850g |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8.663001860096E+21 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -3 6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7683826,9340796548] |
[a1,a2,a3,a4,a6] |
Generators |
[-217112507:3405088577:68921] |
Generators of the group modulo torsion |
j |
-25687755387955186469/4435456952369152 |
j-invariant |
L |
6.2501240542289 |
L(r)(E,1)/r! |
Ω |
0.12553531543334 |
Real period |
R |
12.446943726539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112850t2 |
Quadratic twists by: 5 |