Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
90048bf |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-187549502480105472 = -1 · 214 · 320 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 0 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3243,-20837043] |
[a1,a2,a3,a4,a6] |
Generators |
[18431027292:404735132025:33698267] |
Generators of the group modulo torsion |
j |
230149849088/11447113188483 |
j-invariant |
L |
6.8764250773673 |
L(r)(E,1)/r! |
Ω |
0.14704987142987 |
Real period |
R |
11.690634283437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90048w1 22512r1 |
Quadratic twists by: -4 8 |