Atkin-Lehner |
2- 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112bd |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-90561074429952 = -1 · 218 · 33 · 74 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4447,441921] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:637:1] [7:688:1] |
Generators of the group modulo torsion |
j |
37092620375/345463083 |
j-invariant |
L |
9.837570106284 |
L(r)(E,1)/r! |
Ω |
0.44239664723885 |
Real period |
R |
11.118495324285 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112y2 24528n2 |
Quadratic twists by: -4 8 |