Atkin-Lehner |
2- 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65758u |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
157884958 = 2 · 76 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 1 4 7- 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5745605251,167629538804083] |
[a1,a2,a3,a4,a6] |
j |
178296503348692983836197044001/1342 |
j-invariant |
L |
8.3004372659869 |
L(r)(E,1)/r! |
Ω |
0.1660087456643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1342c3 |
Quadratic twists by: -7 |