Atkin-Lehner |
2- 3- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370bi |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
4992000 |
Modular degree for the optimal curve |
Δ |
-1.8039185193332E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 4 5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5111798,4896626181] |
[a1,a2,a3,a4,a6] |
Generators |
[-615:88667:1] |
Generators of the group modulo torsion |
j |
-20263625725690391655961/2474511000457011200 |
j-invariant |
L |
10.172114678823 |
L(r)(E,1)/r! |
Ω |
0.14435118496963 |
Real period |
R |
1.3551505654144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930d1 |
Quadratic twists by: -3 |