Atkin-Lehner |
2- 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090bd |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-2369833200000 = -1 · 27 · 39 · 55 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 5 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33752,2396251] |
[a1,a2,a3,a4,a6] |
Generators |
[121:209:1] |
Generators of the group modulo torsion |
j |
-216032401620027/120400000 |
j-invariant |
L |
8.9949952706517 |
L(r)(E,1)/r! |
Ω |
0.80725341484036 |
Real period |
R |
0.15918165234803 |
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 |
27090a1 |
Quadratic twists by: -3 |