Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840d |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
541209600 = 210 · 36 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-704701,227931085] |
[a1,a2,a3,a4,a6] |
Generators |
[460:945:1] |
Generators of the group modulo torsion |
j |
37795407757392787456/528525 |
j-invariant |
L |
4.1811565575717 |
L(r)(E,1)/r! |
Ω |
0.83660603541165 |
Real period |
R |
2.4988802259324 |
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 |
27840dh1 3480s1 83520cw1 |
Quadratic twists by: -4 8 -3 |