Atkin-Lehner |
2- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49126f |
Isogeny class |
Conductor |
49126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-12119582754420988 = -1 · 22 · 75 · 118 · 292 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16635,-5230499] |
[a1,a2,a3,a4,a6] |
j |
287365339799/6841188508 |
j-invariant |
L |
0.77740757204446 |
L(r)(E,1)/r! |
Ω |
0.19435189289238 |
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 |
4466b1 |
Quadratic twists by: -11 |