Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820a |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-3.9871684327132E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,558859,257567730] |
[a1,a2,a3,a4,a6] |
Generators |
[471899276:20113931583:438976] |
Generators of the group modulo torsion |
j |
681010157060096/1406657896875 |
j-invariant |
L |
3.620020270799 |
L(r)(E,1)/r! |
Ω |
0.1413454156857 |
Real period |
R |
12.805580758456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4620b1 |
Quadratic twists by: -11 |