Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840bw |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
48 |
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 |
[-34:15:1] |
Generators of the group modulo torsion |
j |
2816075628544/36703125 |
j-invariant |
L |
7.5268458993954 |
L(r)(E,1)/r! |
Ω |
0.64747593700747 |
Real period |
R |
0.9687420372438 |
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 |
27840cv1 1740a1 83520bf1 |
Quadratic twists by: -4 8 -3 |