Atkin-Lehner |
2+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
49096a |
Isogeny class |
Conductor |
49096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10880 |
Modular degree for the optimal curve |
Δ |
-29850368 = -1 · 28 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ -1 -4 2 2 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25,-259] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-38:1] |
Generators of the group modulo torsion |
j |
-1024/17 |
j-invariant |
L |
3.6542429000836 |
L(r)(E,1)/r! |
Ω |
0.89877364486475 |
Real period |
R |
0.50822625376313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98192a1 49096f1 |
Quadratic twists by: -4 -19 |