Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
3600a |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-172800 = -1 · 28 · 33 · 52 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 4 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60,-180] |
[a1,a2,a3,a4,a6] |
Generators |
[9:3:1] |
Generators of the group modulo torsion |
j |
-138240 |
j-invariant |
L |
3.5180664758055 |
L(r)(E,1)/r! |
Ω |
0.85732227507605 |
Real period |
R |
2.0517759645831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1800a1 14400cu1 3600b1 3600e1 |
Quadratic twists by: -4 8 -3 5 |