Atkin-Lehner |
2- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49610w |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
116214401600 = 26 · 52 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11- 2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1717,-21491] |
[a1,a2,a3,a4,a6] |
j |
315821241/65600 |
j-invariant |
L |
4.5153096665106 |
L(r)(E,1)/r! |
Ω |
0.752551610894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
410a1 |
Quadratic twists by: -11 |