Atkin-Lehner |
2+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
27328l |
Isogeny class |
Conductor |
27328 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
104127987712 = 216 · 7 · 613 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 3 0 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7649,-259585] |
[a1,a2,a3,a4,a6] |
Generators |
[-1329:244:27] |
Generators of the group modulo torsion |
j |
755291402212/1588867 |
j-invariant |
L |
5.8118063038169 |
L(r)(E,1)/r! |
Ω |
0.51056206966271 |
Real period |
R |
1.8971922152568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27328w1 3416a1 |
Quadratic twists by: -4 8 |