Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600bv |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-3174400000000 = -1 · 218 · 58 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 4 0 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,88863] |
[a1,a2,a3,a4,a6] |
j |
-117649/775 |
j-invariant |
L |
2.7475471629553 |
L(r)(E,1)/r! |
Ω |
0.68688679094018 |
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 |
49600y1 12400o1 9920bc1 |
Quadratic twists by: -4 8 5 |