Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432t |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
3970774757081088 = 216 · 39 · 11 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27704835,-56128245246] |
[a1,a2,a3,a4,a6] |
Generators |
[2761761:4589637120:1] |
Generators of the group modulo torsion |
j |
29170184477654905875/49252016 |
j-invariant |
L |
4.608210358629 |
L(r)(E,1)/r! |
Ω |
0.06580526808182 |
Real period |
R |
8.7534981866856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4554c1 36432z1 |
Quadratic twists by: -4 -3 |