Atkin-Lehner |
3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
8109j |
Isogeny class |
Conductor |
8109 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-1497799359232461 = -1 · 36 · 173 · 535 |
Discriminant |
Eigenvalues |
1 3- -3 -1 0 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3111,1863998] |
[a1,a2,a3,a4,a6] |
Generators |
[862:24850:1] |
Generators of the group modulo torsion |
j |
-4568511679857/2054594457109 |
j-invariant |
L |
3.800937227513 |
L(r)(E,1)/r! |
Ω |
0.38723686780678 |
Real period |
R |
0.98155355119996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129744bo1 901d1 |
Quadratic twists by: -4 -3 |