Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840g |
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 |
[-39:192:1] |
Generators of the group modulo torsion |
j |
2305199161/1305 |
j-invariant |
L |
5.2686443092885 |
L(r)(E,1)/r! |
Ω |
1.6871563735786 |
Real period |
R |
1.5613977435041 |
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 |
27840dm1 435c1 83520df1 |
Quadratic twists by: -4 8 -3 |