Atkin-Lehner |
2- 3- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36660k |
Isogeny class |
Conductor |
36660 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-314113878000 = -1 · 24 · 32 · 53 · 135 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 0 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2210,-48975] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2535:1] |
Generators of the group modulo torsion |
j |
-74640931223296/19632117375 |
j-invariant |
L |
6.9370197023355 |
L(r)(E,1)/r! |
Ω |
0.34341644703573 |
Real period |
R |
0.22444468620511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109980o1 |
Quadratic twists by: -3 |