Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
9198l |
Isogeny class |
Conductor |
9198 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
25799426244450432 = 27 · 38 · 78 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88160,-6442365] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:1833:1] |
Generators of the group modulo torsion |
j |
103945647763581625/35390159457408 |
j-invariant |
L |
6.9511467214974 |
L(r)(E,1)/r! |
Ω |
0.28471509081529 |
Real period |
R |
0.43597134128471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73584w2 3066c2 64386bo2 |
Quadratic twists by: -4 -3 -7 |