Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840bu |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-1643924160 = -1 · 26 · 311 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -3 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6831,215055] |
[a1,a2,a3,a4,a6] |
Generators |
[54:81:1] |
Generators of the group modulo torsion |
j |
-550884013682176/25686315 |
j-invariant |
L |
4.4045963857899 |
L(r)(E,1)/r! |
Ω |
1.410889924477 |
Real period |
R |
0.28380516885614 |
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 |
27840q1 13920f1 83520cn1 |
Quadratic twists by: -4 8 -3 |