Atkin-Lehner |
5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80275b |
Isogeny class |
Conductor |
80275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160000 |
Modular degree for the optimal curve |
Δ |
2.28082162804E+24 |
Discriminant |
Eigenvalues |
0 3 5+ -4 2 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33377500,-15136986719] |
[a1,a2,a3,a4,a6] |
Generators |
[-303223649093129348181:39993727183678238268799:367109375072257791] |
Generators of the group modulo torsion |
j |
87241870540800/48387275053 |
j-invariant |
L |
8.90585176282 |
L(r)(E,1)/r! |
Ω |
0.067312931935062 |
Real period |
R |
33.076303121856 |
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 |
80275n1 6175b1 |
Quadratic twists by: 5 13 |