Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840dm |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
342097920 = 218 · 32 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1761,-29025] |
[a1,a2,a3,a4,a6] |
Generators |
[231:3456:1] |
Generators of the group modulo torsion |
j |
2305199161/1305 |
j-invariant |
L |
4.2961565733174 |
L(r)(E,1)/r! |
Ω |
0.73697698065568 |
Real period |
R |
2.9147155786977 |
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 |
27840g1 6960bf1 83520gp1 |
Quadratic twists by: -4 8 -3 |