Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27072ck |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
59206464 = 26 · 39 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 5 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102,142] |
[a1,a2,a3,a4,a6] |
j |
2515456/1269 |
j-invariant |
L |
3.4954452556593 |
L(r)(E,1)/r! |
Ω |
1.7477226278297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27072by1 13536bc1 9024bp1 |
Quadratic twists by: -4 8 -3 |