Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
57820o |
Isogeny class |
Conductor |
57820 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
27765164000000 = 28 · 56 · 76 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17460,-856892] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:50:1] |
Generators of the group modulo torsion |
j |
19545784144/921875 |
j-invariant |
L |
4.6300661920873 |
L(r)(E,1)/r! |
Ω |
0.41653726566621 |
Real period |
R |
1.2350678835487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1180a2 |
Quadratic twists by: -7 |