Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82467l |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-4.7849418996745E+19 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,899410,54315888] |
[a1,a2,a3,a4,a6] |
Generators |
[186036:80148707:1] |
Generators of the group modulo torsion |
j |
19146326126375/11385833283 |
j-invariant |
L |
2.9805447135888 |
L(r)(E,1)/r! |
Ω |
0.12279696906554 |
Real period |
R |
12.136067929297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27489a1 82467bf1 |
Quadratic twists by: -3 -7 |