Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
72600b |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-15524784000000 = -1 · 210 · 36 · 56 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3392,-174788] |
[a1,a2,a3,a4,a6] |
Generators |
[42:200:1] |
Generators of the group modulo torsion |
j |
202612/729 |
j-invariant |
L |
5.2725332781675 |
L(r)(E,1)/r! |
Ω |
0.35552153238293 |
Real period |
R |
1.8538023713858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2904l2 72600cg2 |
Quadratic twists by: 5 -11 |