Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65824i |
Isogeny class |
Conductor |
65824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2097074704384 = -1 · 212 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 2 2 -2 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2097,-78175] |
[a1,a2,a3,a4,a6] |
Generators |
[401387:13714140:343] |
Generators of the group modulo torsion |
j |
-140608/289 |
j-invariant |
L |
9.7628622337668 |
L(r)(E,1)/r! |
Ω |
0.33109898978516 |
Real period |
R |
7.3715584570892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65824k2 544b2 |
Quadratic twists by: -4 -11 |