Atkin-Lehner |
2+ 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74778h |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
1835667031066045056 = 27 · 310 · 119 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-93595560,-348530422154] |
[a1,a2,a3,a4,a6] |
j |
38455218234807906923/778502016 |
j-invariant |
L |
3.8830745615298 |
L(r)(E,1)/r! |
Ω |
0.048538432150034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74778bi2 |
Quadratic twists by: -11 |