Atkin-Lehner |
3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205g |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1577907037476135 = 33 · 5 · 438 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 0 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-152889,22968538] |
[a1,a2,a3,a4,a6] |
Generators |
[7913720262:-6149027135:33386248] |
Generators of the group modulo torsion |
j |
2315685267/9245 |
j-invariant |
L |
10.238076922548 |
L(r)(E,1)/r! |
Ω |
0.47767934814572 |
Real period |
R |
10.716474303927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83205c2 1935b2 |
Quadratic twists by: -3 -43 |