Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63945i |
Isogeny class |
Conductor |
63945 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.5946451062684E+26 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -6 4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-256771328898,-50080413578994122] |
[a1,a2,a3,a4,a6] |
Generators |
[28653052041613885899500446540386191525359173565131516096564750542270138381263014817037889546047236327521860373317736719037932523019639193366499878980159604986412437325679290524582:-22283593810924218210687393530031314422585559955731499301912510474932344037412119713973626040168935769412979646095531739867922105603612537636117573563366039725589656649207838736358546:30604955671992024565116888971115813131058203970305135600874581680136287721615789221397558670582414132186680431420434300524512883140480483344357634585446211839189459755920217] |
Generators of the group modulo torsion |
j |
-21829688069145876627900706422784/1859294891357421875 |
j-invariant |
L |
3.616402027095 |
L(r)(E,1)/r! |
Ω |
0.0033533812123069 |
Real period |
R |
269.60862769068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7105c3 9135k3 |
Quadratic twists by: -3 -7 |