Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27048g |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2019963681792 = -1 · 210 · 36 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3152,95472] |
[a1,a2,a3,a4,a6] |
Generators |
[4:288:1] |
Generators of the group modulo torsion |
j |
-28756228/16767 |
j-invariant |
L |
7.8152829995283 |
L(r)(E,1)/r! |
Ω |
0.76782246991249 |
Real period |
R |
1.6964170985208 |
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 |
54096k1 81144ca1 552a1 |
Quadratic twists by: -4 -3 -7 |