Atkin-Lehner |
2+ 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394j |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1370799540432774144 = 210 · 32 · 74 · 118 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-730116,233119440] |
[a1,a2,a3,a4,a6] |
Generators |
[-423:21810:1] |
Generators of the group modulo torsion |
j |
24296523029999137/773780603904 |
j-invariant |
L |
2.569398873151 |
L(r)(E,1)/r! |
Ω |
0.26905090160897 |
Real period |
R |
1.1937326998588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989648 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7854k2 |
Quadratic twists by: -11 |