Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766be |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-922031616 = -1 · 29 · 3 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 11- -6 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,58,1475] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-97:1] |
Generators of the group modulo torsion |
j |
1472207/62976 |
j-invariant |
L |
5.375402378309 |
L(r)(E,1)/r! |
Ω |
1.1912157152391 |
Real period |
R |
0.16713091879789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298be1 29766l1 |
Quadratic twists by: -3 -11 |