Atkin-Lehner |
2- 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36360u |
Isogeny class |
Conductor |
36360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-2356128000000 = -1 · 211 · 36 · 56 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22107,-1267306] |
[a1,a2,a3,a4,a6] |
j |
-800305248818/1578125 |
j-invariant |
L |
2.3489135492563 |
L(r)(E,1)/r! |
Ω |
0.19574279577092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72720r1 4040a1 |
Quadratic twists by: -4 -3 |