Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008ct |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
491854457995264 = 222 · 74 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-924076,341906640] |
[a1,a2,a3,a4,a6] |
Generators |
[-1019:15015:1] [437:4641:1] |
Generators of the group modulo torsion |
j |
332894686333856193/1876275856 |
j-invariant |
L |
10.546865616458 |
L(r)(E,1)/r! |
Ω |
0.46548998593462 |
Real period |
R |
5.6643891034675 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99008e2 24752bd2 |
Quadratic twists by: -4 8 |