Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400ci |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9884160 |
Modular degree for the optimal curve |
Δ |
7.024111812608E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 11- 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-262595208,-1637728611088] |
[a1,a2,a3,a4,a6] |
Generators |
[-3270589039773285635807772241478:259379807098656660138646437954:348035242360600446794944829] |
Generators of the group modulo torsion |
j |
233551483825/8192 |
j-invariant |
L |
9.943956271389 |
L(r)(E,1)/r! |
Ω |
0.037504101849787 |
Real period |
R |
44.190527528682 |
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 |
6050l1 48400dh1 48400cj1 |
Quadratic twists by: -4 5 -11 |