Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ec |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-33067440000000 = -1 · 210 · 310 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7800,-79000] |
[a1,a2,a3,a4,a6] |
Generators |
[26:376:1] [70:900:1] |
Generators of the group modulo torsion |
j |
4499456/2835 |
j-invariant |
L |
11.185126440058 |
L(r)(E,1)/r! |
Ω |
0.3772087220539 |
Real period |
R |
3.7065442110318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ns1 12600bv1 33600j1 20160bu1 |
Quadratic twists by: -4 8 -3 5 |