Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160cy |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
937440 |
Modular degree for the optimal curve |
Δ |
-171843817729150000 = -1 · 24 · 55 · 710 · 233 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 -6 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76832,-21563381] |
[a1,a2,a3,a4,a6] |
Generators |
[393:2990:1] |
Generators of the group modulo torsion |
j |
-11098128384/38021875 |
j-invariant |
L |
5.962143987369 |
L(r)(E,1)/r! |
Ω |
0.13176437620511 |
Real period |
R |
3.0165684961426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540m1 90160bm1 |
Quadratic twists by: -4 -7 |