Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
240d |
Isogeny class |
Conductor |
240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16 |
Modular degree for the optimal curve |
Δ |
-61440 = -1 · 212 · 3 · 5 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-12] |
[a1,a2,a3,a4,a6] |
j |
-1/15 |
j-invariant |
L |
1.5962422221318 |
L(r)(E,1)/r! |
Ω |
1.5962422221318 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15a8 960i1 720h1 1200j1 |
Quadratic twists by: -4 8 -3 5 |