Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840cv |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
37584000000 = 210 · 34 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2965,62437] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-180:1] |
Generators of the group modulo torsion |
j |
2816075628544/36703125 |
j-invariant |
L |
4.2177482215303 |
L(r)(E,1)/r! |
Ω |
1.1580867308187 |
Real period |
R |
0.60699947440445 |
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 |
27840bw1 6960bg1 83520fa1 |
Quadratic twists by: -4 8 -3 |