Atkin-Lehner |
2- 7+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81872v |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1700352 |
Modular degree for the optimal curve |
Δ |
-6.5500520324577E+19 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 0 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-520472,-415168784] |
[a1,a2,a3,a4,a6] |
Generators |
[1100:18496:1] |
Generators of the group modulo torsion |
j |
-3806770633365698713/15991337969867456 |
j-invariant |
L |
3.3426714186693 |
L(r)(E,1)/r! |
Ω |
0.080911608332844 |
Real period |
R |
0.57378654158406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234g1 |
Quadratic twists by: -4 |