Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008cv |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2364684894208 = -1 · 218 · 74 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -2 0 7- -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3327,-3329] |
[a1,a2,a3,a4,a6] |
Generators |
[5:116:1] [15:224:1] |
Generators of the group modulo torsion |
j |
15531437375/9020557 |
j-invariant |
L |
8.1653276699454 |
L(r)(E,1)/r! |
Ω |
0.48427664364486 |
Real period |
R |
2.1076093017244 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008g2 24752be2 |
Quadratic twists by: -4 8 |