Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300m |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-933747285636000000 = -1 · 28 · 32 · 56 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133355108,592782218712] |
[a1,a2,a3,a4,a6] |
Generators |
[11452464919:-30730408638:1685159] |
Generators of the group modulo torsion |
j |
-2527934627152/9 |
j-invariant |
L |
5.75468753918 |
L(r)(E,1)/r! |
Ω |
0.18639421714584 |
Real period |
R |
15.436872525604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900cc2 1452f2 36300p2 |
Quadratic twists by: -3 5 -11 |