Atkin-Lehner |
3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
30195f |
Isogeny class |
Conductor |
30195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-330966508021875 = -1 · 315 · 55 · 112 · 61 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11+ -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2748,-877041] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1822:1] |
Generators of the group modulo torsion |
j |
-3148084412416/454000696875 |
j-invariant |
L |
3.6300735810747 |
L(r)(E,1)/r! |
Ω |
0.24066663067333 |
Real period |
R |
1.8854263109298 |
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 |
10065m1 |
Quadratic twists by: -3 |