Atkin-Lehner |
2+ 5+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
72850a |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-72850000000000 = -1 · 210 · 511 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 -6 2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34750,2512500] |
[a1,a2,a3,a4,a6] |
Generators |
[105:135:1] |
Generators of the group modulo torsion |
j |
-297021331323361/4662400000 |
j-invariant |
L |
6.8693212719128 |
L(r)(E,1)/r! |
Ω |
0.61569109412447 |
Real period |
R |
2.7892726301979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14570k1 |
Quadratic twists by: 5 |