Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96824i |
Isogeny class |
Conductor |
96824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33171310611712 = 28 · 79 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33271,-2319366] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:78:1] |
Generators of the group modulo torsion |
j |
394274736/3211 |
j-invariant |
L |
2.9327047543266 |
L(r)(E,1)/r! |
Ω |
0.35366852330095 |
Real period |
R |
2.0730603315414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96824m2 |
Quadratic twists by: -7 |