Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840b |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-22618128960000 = -1 · 29 · 312 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4656,261000] |
[a1,a2,a3,a4,a6] |
Generators |
[13:450:1] [554:4125:8] |
Generators of the group modulo torsion |
j |
-21806498657672/44176033125 |
j-invariant |
L |
7.8703304514891 |
L(r)(E,1)/r! |
Ω |
0.60275009541963 |
Real period |
R |
13.057369067708 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840bu2 127680ct3 |
Quadratic twists by: -4 8 |