Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008y |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
139264 |
Modular degree for the optimal curve |
Δ |
1559187488768 = 216 · 72 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -2 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2913,-8321] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:224:1] [-35:228:1] |
Generators of the group modulo torsion |
j |
41726726500/23791313 |
j-invariant |
L |
8.0175630250018 |
L(r)(E,1)/r! |
Ω |
0.70303880742652 |
Real period |
R |
2.8510385698241 |
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 |
99008bs1 12376o1 |
Quadratic twists by: -4 8 |