Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
6150h |
Isogeny class |
Conductor |
6150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-76875000 = -1 · 23 · 3 · 57 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 2 4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-525,-4875] |
[a1,a2,a3,a4,a6] |
j |
-1027243729/4920 |
j-invariant |
L |
0.99684501945552 |
L(r)(E,1)/r! |
Ω |
0.49842250972776 |
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 |
49200do1 18450bq1 1230j1 |
Quadratic twists by: -4 -3 5 |