Atkin-Lehner |
2+ 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bn |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-11636583217459200 = -1 · 212 · 38 · 52 · 7 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,26676,-4918320] |
[a1,a2,a3,a4,a6] |
Generators |
[241:-4053:1] [345:6555:1] |
Generators of the group modulo torsion |
j |
2879712637768511/15962391244800 |
j-invariant |
L |
8.6739541128988 |
L(r)(E,1)/r! |
Ω |
0.20185834272957 |
Real period |
R |
5.371312622158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bo1 |
Quadratic twists by: -3 |