Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36540p |
Isogeny class |
Conductor |
36540 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
1456747031250000 = 24 · 38 · 510 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28992,-487951] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:875:1] |
Generators of the group modulo torsion |
j |
231052530417664/124892578125 |
j-invariant |
L |
6.46835894076 |
L(r)(E,1)/r! |
Ω |
0.38984381020631 |
Real period |
R |
0.55307268974685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12180d1 |
Quadratic twists by: -3 |