Atkin-Lehner |
2- 3- 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090dz |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
251790831452160 = 216 · 310 · 5 · 7 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19112,-667029] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:441:1] |
Generators of the group modulo torsion |
j |
1058993490188089/345392087040 |
j-invariant |
L |
12.67497583013 |
L(r)(E,1)/r! |
Ω |
0.41659933967435 |
Real period |
R |
0.95077681775359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030c1 |
Quadratic twists by: -3 |