Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600io |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-16646400000000 = -1 · 214 · 32 · 58 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1967,194063] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:375:1] [-13:408:1] |
Generators of the group modulo torsion |
j |
3286064/65025 |
j-invariant |
L |
12.677688312167 |
L(r)(E,1)/r! |
Ω |
0.51889848642823 |
Real period |
R |
1.5269952413538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600w2 20400cc2 16320bo2 |
Quadratic twists by: -4 8 5 |