Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864bq |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1145664 |
Modular degree for the optimal curve |
Δ |
-8.7925977300914E+19 |
Discriminant |
Eigenvalues |
2- -2 0 2 11- 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-696008,503238772] |
[a1,a2,a3,a4,a6] |
Generators |
[364:17270:1] |
Generators of the group modulo torsion |
j |
-4515625/10648 |
j-invariant |
L |
4.8397043008234 |
L(r)(E,1)/r! |
Ω |
0.16942324239045 |
Real period |
R |
4.760960610231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358a1 50864bl1 |
Quadratic twists by: -4 17 |