Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
120600d |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-552231168750000 = -1 · 24 · 39 · 58 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9450,1184625] |
[a1,a2,a3,a4,a6] |
j |
-18966528/112225 |
j-invariant |
L |
1.7922535234714 |
L(r)(E,1)/r! |
Ω |
0.44806318483376 |
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 |
120600bk1 24120n1 |
Quadratic twists by: -3 5 |