Atkin-Lehner |
2+ 3+ 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710c |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
216384 |
Modular degree for the optimal curve |
Δ |
-824813730000000 = -1 · 27 · 32 · 57 · 13 · 893 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 6 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13793,1510197] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1235:1] |
Generators of the group modulo torsion |
j |
-290234554879810969/824813730000000 |
j-invariant |
L |
4.104359813199 |
L(r)(E,1)/r! |
Ω |
0.44210943887455 |
Real period |
R |
4.6417916609602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104130bz1 |
Quadratic twists by: -3 |