Atkin-Lehner |
2- 3+ 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27084a |
Isogeny class |
Conductor |
27084 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9120 |
Modular degree for the optimal curve |
Δ |
-140403456 = -1 · 28 · 35 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 -5 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45,-567] |
[a1,a2,a3,a4,a6] |
j |
-40247296/548451 |
j-invariant |
L |
0.78635238359363 |
L(r)(E,1)/r! |
Ω |
0.78635238359337 |
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 |
108336u1 81252a1 |
Quadratic twists by: -4 -3 |