Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008r |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-295585611776 = -1 · 215 · 74 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-556,26640] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:108:1] [-22:168:1] |
Generators of the group modulo torsion |
j |
-580093704/9020557 |
j-invariant |
L |
9.5725558567373 |
L(r)(E,1)/r! |
Ω |
0.82147559173308 |
Real period |
R |
1.4566099032056 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008a2 49504e2 |
Quadratic twists by: -4 8 |