Atkin-Lehner |
2+ 3- 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870a |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
1581128100 = 22 · 36 · 52 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-330,1376] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:61:1] |
Generators of the group modulo torsion |
j |
5461074081/2168900 |
j-invariant |
L |
4.1863026455923 |
L(r)(E,1)/r! |
Ω |
1.3660845116627 |
Real period |
R |
0.76611340873906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430i1 |
Quadratic twists by: -3 |