Atkin-Lehner |
2+ 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394d |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6767510941800378 = 2 · 33 · 7 · 118 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29516984,-61736587458] |
[a1,a2,a3,a4,a6] |
Generators |
[-20284285574457:10191114672616:6466042647] |
Generators of the group modulo torsion |
j |
1605401128026436521313/3820083498 |
j-invariant |
L |
4.8979135460538 |
L(r)(E,1)/r! |
Ω |
0.06477114253003 |
Real period |
R |
18.904690259101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854m4 |
Quadratic twists by: -11 |