Atkin-Lehner |
2- 3- 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090dq |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
4495130640 = 24 · 36 · 5 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72272,-7460189] |
[a1,a2,a3,a4,a6] |
Generators |
[2149:97709:1] |
Generators of the group modulo torsion |
j |
57266517014673849/6166160 |
j-invariant |
L |
11.595077563626 |
L(r)(E,1)/r! |
Ω |
0.29117729598527 |
Real period |
R |
4.9776707006957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010d1 |
Quadratic twists by: -3 |