Atkin-Lehner |
2- 7+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116144k |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-116144 = -1 · 24 · 7 · 17 · 61 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 5 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[26:17:8] |
Generators of the group modulo torsion |
j |
-16384/7259 |
j-invariant |
L |
4.3915830760778 |
L(r)(E,1)/r! |
Ω |
1.4914404180093 |
Real period |
R |
2.9445246555015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999841469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29036g1 |
Quadratic twists by: -4 |