Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008y |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15370451812352 = 217 · 74 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -2 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29953,1976415] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:1904:1] [-14:1547:1] |
Generators of the group modulo torsion |
j |
22675102789250/117267241 |
j-invariant |
L |
8.0175630250018 |
L(r)(E,1)/r! |
Ω |
0.70303880742652 |
Real period |
R |
0.71275964245602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008bs2 12376o2 |
Quadratic twists by: -4 8 |