Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fh |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.4312918728045E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16020147,-24640582286] |
[a1,a2,a3,a4,a6] |
Generators |
[-2382:2030:1] |
Generators of the group modulo torsion |
j |
152277495831664137649/282362258900400 |
j-invariant |
L |
7.4038312372093 |
L(r)(E,1)/r! |
Ω |
0.075471208625592 |
Real period |
R |
6.1313375068649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000016515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710n4 28560df4 |
Quadratic twists by: -4 -3 |