Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
90048p |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10761011636207616 = 226 · 36 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70497,-5172255] |
[a1,a2,a3,a4,a6] |
Generators |
[-9679604:-99278515:85184] |
Generators of the group modulo torsion |
j |
147809333462617/41050001664 |
j-invariant |
L |
7.2103445072241 |
L(r)(E,1)/r! |
Ω |
0.29913348361658 |
Real period |
R |
12.052051829499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001422 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90048bo2 2814a2 |
Quadratic twists by: -4 8 |