Atkin-Lehner |
2+ 3+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090c |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
53025892920 = 23 · 33 · 5 · 74 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77400,8307560] |
[a1,a2,a3,a4,a6] |
Generators |
[151:139:1] |
Generators of the group modulo torsion |
j |
1899266841848476827/1963921960 |
j-invariant |
L |
4.5114046788624 |
L(r)(E,1)/r! |
Ω |
0.94251936698197 |
Real period |
R |
0.5983172385535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090ck2 |
Quadratic twists by: -3 |