Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cn |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-117612000000 = -1 · 28 · 35 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 6 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1833,35037] |
[a1,a2,a3,a4,a6] |
Generators |
[7:150:1] |
Generators of the group modulo torsion |
j |
-1408000/243 |
j-invariant |
L |
5.805764140734 |
L(r)(E,1)/r! |
Ω |
1.01011997163 |
Real period |
R |
1.4368996517488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2904f1 72600h1 |
Quadratic twists by: 5 -11 |