Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27072bv |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-6041230547447808 = -1 · 212 · 322 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156900,24211712] |
[a1,a2,a3,a4,a6] |
Generators |
[268:1188:1] |
Generators of the group modulo torsion |
j |
-143055667000000/2023195887 |
j-invariant |
L |
6.0154899565082 |
L(r)(E,1)/r! |
Ω |
0.42634758348853 |
Real period |
R |
3.5273390711443 |
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 |
27072ci1 13536g1 9024bi1 |
Quadratic twists by: -4 8 -3 |