Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
27072bt |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
81216 = 26 · 33 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 3 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36,-82] |
[a1,a2,a3,a4,a6] |
Generators |
[7:3:1] |
Generators of the group modulo torsion |
j |
2985984/47 |
j-invariant |
L |
7.0140678803868 |
L(r)(E,1)/r! |
Ω |
1.9509144767972 |
Real period |
R |
1.7976359199255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27072c1 6768k1 27072bo1 |
Quadratic twists by: -4 8 -3 |