Atkin-Lehner |
2- 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36540b |
Isogeny class |
Conductor |
36540 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
185472 |
Modular degree for the optimal curve |
Δ |
-645332940000000 = -1 · 28 · 33 · 57 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 -6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7152,1244196] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-1050:1] [-108:870:1] |
Generators of the group modulo torsion |
j |
-5853323132928/93364140625 |
j-invariant |
L |
8.9094167671288 |
L(r)(E,1)/r! |
Ω |
0.43263480531305 |
Real period |
R |
0.081719796943771 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36540a1 |
Quadratic twists by: -3 |