Atkin-Lehner |
2- 3- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86904k |
Isogeny class |
Conductor |
86904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
458244637981083648 = 211 · 312 · 174 · 712 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -2 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-218379,21957158] |
[a1,a2,a3,a4,a6] |
Generators |
[2480780049550:5479629444702:6078390625] |
Generators of the group modulo torsion |
j |
771434132122514/306930404169 |
j-invariant |
L |
9.3465661829555 |
L(r)(E,1)/r! |
Ω |
0.26929678580679 |
Real period |
R |
17.353653428769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28968e2 |
Quadratic twists by: -3 |