Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656da |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
223776 |
Modular degree for the optimal curve |
Δ |
-131990883696 = -1 · 24 · 33 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -6 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11090,-453573] |
[a1,a2,a3,a4,a6] |
Generators |
[14463379:27882483:117649] |
Generators of the group modulo torsion |
j |
-1635510016/1431 |
j-invariant |
L |
8.5596586054601 |
L(r)(E,1)/r! |
Ω |
0.23260048845944 |
Real period |
R |
12.266610157294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31164a1 124656cd1 |
Quadratic twists by: -4 -7 |