Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1800b |
Isogeny class |
Conductor |
1800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-2160000000 = -1 · 210 · 33 · 57 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-2250] |
[a1,a2,a3,a4,a6] |
Generators |
[30:150:1] |
Generators of the group modulo torsion |
j |
-108/5 |
j-invariant |
L |
2.8356201684899 |
L(r)(E,1)/r! |
Ω |
0.64137800267849 |
Real period |
R |
1.105284308414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3600d1 14400i1 1800n1 360b1 |
Quadratic twists by: -4 8 -3 5 |