Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1800a |
Isogeny class |
Conductor |
1800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
192 |
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 |
[6:-6:1] |
Generators of the group modulo torsion |
j |
-138240 |
j-invariant |
L |
2.9326702662576 |
L(r)(E,1)/r! |
Ω |
3.2316409502392 |
Real period |
R |
0.11343580209771 |
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 |
3600a1 14400b1 1800m1 1800o1 |
Quadratic twists by: -4 8 -3 5 |