Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27735g |
Isogeny class |
Conductor |
27735 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-94820445735 = -1 · 3 · 5 · 436 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39,-14819] |
[a1,a2,a3,a4,a6] |
Generators |
[3526744849368307:-75364364872847791:8100013911787] |
Generators of the group modulo torsion |
j |
-1/15 |
j-invariant |
L |
6.3111687400608 |
L(r)(E,1)/r! |
Ω |
0.48684931355927 |
Real period |
R |
25.926579597785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83205u1 15a8 |
Quadratic twists by: -3 -43 |