Atkin-Lehner |
2- 3- 5- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270bb |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2232660107095992450 = -1 · 2 · 312 · 52 · 176 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1465052,-685948399] |
[a1,a2,a3,a4,a6] |
Generators |
[186616077813858:11427176055540167:44437096088] |
Generators of the group modulo torsion |
j |
-477040250994668625529/3062633891764050 |
j-invariant |
L |
11.681902048558 |
L(r)(E,1)/r! |
Ω |
0.068586668135544 |
Real period |
R |
21.290402263137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30090d2 |
Quadratic twists by: -3 |