Atkin-Lehner |
2- 3- 5+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370bn |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
4265856 |
Modular degree for the optimal curve |
Δ |
1.5401609920512E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 7 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6313118,-6074552019] |
[a1,a2,a3,a4,a6] |
j |
38170499223892336150681/211270369280000000 |
j-invariant |
L |
4.38269402448 |
L(r)(E,1)/r! |
Ω |
0.095275956669246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930b1 |
Quadratic twists by: -3 |