Atkin-Lehner |
3+ 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
58065h |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
47651291748046875 = 3 · 512 · 77 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-449502,115333149] |
[a1,a2,a3,a4,a6] |
Generators |
[6782:145079:8] |
Generators of the group modulo torsion |
j |
85375226113731289/405029296875 |
j-invariant |
L |
6.5586641103052 |
L(r)(E,1)/r! |
Ω |
0.35972972812 |
Real period |
R |
6.0773997787379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8295d3 |
Quadratic twists by: -7 |