Atkin-Lehner |
2+ 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144h |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2640642048 = 216 · 32 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 11+ 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,-68607] |
[a1,a2,a3,a4,a6] |
Generators |
[42504:246015:512] |
Generators of the group modulo torsion |
j |
55365148804/40293 |
j-invariant |
L |
9.0874294671931 |
L(r)(E,1)/r! |
Ω |
0.63472529074194 |
Real period |
R |
7.1585531562214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144dc2 9768m2 |
Quadratic twists by: -4 8 |