Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12300b |
Isogeny class |
Conductor |
12300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-76590562500000000 = -1 · 28 · 36 · 512 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 6 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,54492,-12400488] |
[a1,a2,a3,a4,a6] |
j |
4473567501104/19147640625 |
j-invariant |
L |
2.7834187597885 |
L(r)(E,1)/r! |
Ω |
0.17396367248678 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49200dg2 36900k2 2460e2 |
Quadratic twists by: -4 -3 5 |