Atkin-Lehner |
2+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124270p |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
4582656 |
Modular degree for the optimal curve |
Δ |
3.380144E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 -4 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1053658,308221068] |
[a1,a2,a3,a4,a6] |
Generators |
[-486:26805:1] |
Generators of the group modulo torsion |
j |
26331485596594360937/6880000000000000 |
j-invariant |
L |
4.2516132213835 |
L(r)(E,1)/r! |
Ω |
0.19368648009206 |
Real period |
R |
0.84426951592397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996727989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124270e1 |
Quadratic twists by: 17 |