Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22344bi |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17803920858200064 = -1 · 211 · 34 · 77 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38432,7031520] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:2850:1] |
Generators of the group modulo torsion |
j |
-26055281954/73892007 |
j-invariant |
L |
7.3983381414388 |
L(r)(E,1)/r! |
Ω |
0.34227599011521 |
Real period |
R |
2.7018905631346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688f3 67032bg3 3192n4 |
Quadratic twists by: -4 -3 -7 |