Atkin-Lehner |
3+ 7- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104811i |
Isogeny class |
Conductor |
104811 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12936960 |
Modular degree for the optimal curve |
Δ |
5607061627331116197 = 33 · 72 · 236 · 315 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 3 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-668124613,-6646909554699] |
[a1,a2,a3,a4,a6] |
Generators |
[-196053620804796775911:68945643268109863:13137740644808681] |
Generators of the group modulo torsion |
j |
673131703612120608135970816000/114429829129206453 |
j-invariant |
L |
4.7882988173135 |
L(r)(E,1)/r! |
Ω |
0.029695126991369 |
Real period |
R |
26.874773194859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104811o1 |
Quadratic twists by: -7 |