Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840by |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
561126113280 = 216 · 310 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2785,-44545] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:96:1] |
Generators of the group modulo torsion |
j |
36464923876/8562105 |
j-invariant |
L |
7.6897894441365 |
L(r)(E,1)/r! |
Ω |
0.66832547652585 |
Real period |
R |
1.1506054630912 |
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 |
27840cz1 3480o1 83520bi1 |
Quadratic twists by: -4 8 -3 |