Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536bz |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1717969194436755456 = -1 · 215 · 32 · 73 · 198 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42049,63163009] |
[a1,a2,a3,a4,a6] |
Generators |
[145:7752:1] |
Generators of the group modulo torsion |
j |
-250929153369224/52428259107567 |
j-invariant |
L |
3.7662585334318 |
L(r)(E,1)/r! |
Ω |
0.21657365086694 |
Real period |
R |
4.3475493421702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25536dg3 12768v4 76608eg3 |
Quadratic twists by: -4 8 -3 |