Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
90048q |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-83199303548928 = -1 · 216 · 32 · 7 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-609,-438687] |
[a1,a2,a3,a4,a6] |
Generators |
[81:192:1] |
Generators of the group modulo torsion |
j |
-381775972/1269520623 |
j-invariant |
L |
5.7974406769342 |
L(r)(E,1)/r! |
Ω |
0.27558484006206 |
Real period |
R |
2.6296079458721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048bp3 11256e4 |
Quadratic twists by: -4 8 |