Atkin-Lehner |
2- 3- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090dn |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
1789806500732250000 = 24 · 310 · 56 · 72 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-369437,-57586539] |
[a1,a2,a3,a4,a6] |
Generators |
[-439:4674:1] |
Generators of the group modulo torsion |
j |
7649204088039921289/2455152950250000 |
j-invariant |
L |
10.648465712164 |
L(r)(E,1)/r! |
Ω |
0.1985715488472 |
Real period |
R |
0.55859723299682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008754 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30030a2 |
Quadratic twists by: -3 |