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 |
291911122944 = 214 · 34 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5649,-159471] |
[a1,a2,a3,a4,a6] |
Generators |
[2265:107712:1] |
Generators of the group modulo torsion |
j |
1217013440848/17816841 |
j-invariant |
L |
5.7974406769342 |
L(r)(E,1)/r! |
Ω |
0.55116968012412 |
Real period |
R |
5.2592158917442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921027 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90048bp2 11256e2 |
Quadratic twists by: -4 8 |