Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090bp |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-39813197760 = -1 · 26 · 310 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1472,-23389] |
[a1,a2,a3,a4,a6] |
Generators |
[99:841:1] |
Generators of the group modulo torsion |
j |
-483551781049/54613440 |
j-invariant |
L |
9.2988613078359 |
L(r)(E,1)/r! |
Ω |
0.38296842486972 |
Real period |
R |
2.0234177510847 |
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 |
9030i1 |
Quadratic twists by: -3 |