Atkin-Lehner |
2- 11- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98384l |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1641600 |
Modular degree for the optimal curve |
Δ |
-1.3316059465637E+19 |
Discriminant |
Eigenvalues |
2- 0 -3 -3 11- 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-271879,-183851886] |
[a1,a2,a3,a4,a6] |
Generators |
[1046:26004:1] |
Generators of the group modulo torsion |
j |
-8681819221418877648/52015857287643821 |
j-invariant |
L |
2.5091779529324 |
L(r)(E,1)/r! |
Ω |
0.093521808824978 |
Real period |
R |
5.3659739987515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999225927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24596a1 |
Quadratic twists by: -4 |