Atkin-Lehner |
2- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85952t |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
686080 |
Modular degree for the optimal curve |
Δ |
58279152799645696 = 216 · 172 · 795 |
Discriminant |
Eigenvalues |
2- -1 3 -1 -4 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-210529,35390081] |
[a1,a2,a3,a4,a6] |
Generators |
[215:136:1] |
Generators of the group modulo torsion |
j |
15746412606293092/889269299311 |
j-invariant |
L |
4.8297152429115 |
L(r)(E,1)/r! |
Ω |
0.34665171945106 |
Real period |
R |
3.4831179072393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85952j1 21488b1 |
Quadratic twists by: -4 8 |