Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600n |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-3013270470000000000 = -1 · 210 · 316 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -5 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3380833,-2393005463] |
[a1,a2,a3,a4,a6] |
Generators |
[2581607646153383835016:-360363865294983204793917:131284730661024907] |
Generators of the group modulo torsion |
j |
-427361108435200/301327047 |
j-invariant |
L |
3.542861107534 |
L(r)(E,1)/r! |
Ω |
0.05566667146381 |
Real period |
R |
31.822103013985 |
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 |
33600gz1 4200m1 100800ef1 33600dy1 |
Quadratic twists by: -4 8 -3 5 |