Atkin-Lehner |
2- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52976r |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2.4431557463037E+25 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-299117288,-1976827402384] |
[a1,a2,a3,a4,a6] |
Generators |
[400293830930800486263858:-17247504725455668528505058:19241700757634175309] |
Generators of the group modulo torsion |
j |
722583947450879449598139625/5964735708749358567488 |
j-invariant |
L |
8.2037886649218 |
L(r)(E,1)/r! |
Ω |
0.036320800176123 |
Real period |
R |
37.645043726566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622f4 |
Quadratic twists by: -4 |