Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540bo |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-15482472548400 = -1 · 24 · 36 · 52 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6985,291500] |
[a1,a2,a3,a4,a6] |
Generators |
[8:486:1] |
Generators of the group modulo torsion |
j |
-488095744/200475 |
j-invariant |
L |
11.386557951274 |
L(r)(E,1)/r! |
Ω |
0.6554210748704 |
Real period |
R |
2.8954815865059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
660c1 |
Quadratic twists by: 13 |