Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840bw |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
16220160 |
Modular degree for the optimal curve |
Δ |
-1.8874685441228E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 -7 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2918292,66071613872] |
[a1,a2,a3,a4,a6] |
Generators |
[137734:51121152:1] |
Generators of the group modulo torsion |
j |
14382768678616871/9876709319915520 |
j-invariant |
L |
5.8549339949697 |
L(r)(E,1)/r! |
Ω |
0.064944452301128 |
Real period |
R |
2.2538237649922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840ej1 3870w1 41280t1 |
Quadratic twists by: -4 8 -3 |