Atkin-Lehner |
2+ 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72864a |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1444121144465928192 = 212 · 39 · 112 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-455436,103209984] |
[a1,a2,a3,a4,a6] |
Generators |
[582:5940:1] |
Generators of the group modulo torsion |
j |
129584942748864/17912342569 |
j-invariant |
L |
4.9599542076022 |
L(r)(E,1)/r! |
Ω |
0.25896539763718 |
Real period |
R |
2.3941201477244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72864f2 72864v2 |
Quadratic twists by: -4 -3 |