Atkin-Lehner |
2- 3+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090cq |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
1056 |
Product of Tamagawa factors cp |
deg |
8515584 |
Modular degree for the optimal curve |
Δ |
5.920514803125E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11008982,7788613861] |
[a1,a2,a3,a4,a6] |
Generators |
[-2711:134411:1] |
Generators of the group modulo torsion |
j |
7496764487191180232667/3007933141861007360 |
j-invariant |
L |
11.865153782028 |
L(r)(E,1)/r! |
Ω |
0.1009176811897 |
Real period |
R |
0.44535074312181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090a1 |
Quadratic twists by: -3 |