Atkin-Lehner |
2+ 3- 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370m |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
58589730 = 2 · 38 · 5 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -5 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180,-810] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:9:1] |
Generators of the group modulo torsion |
j |
887503681/80370 |
j-invariant |
L |
3.007139863222 |
L(r)(E,1)/r! |
Ω |
1.3106187243654 |
Real period |
R |
1.1472214643215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26790ba1 |
Quadratic twists by: -3 |