Atkin-Lehner |
2- 3- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81396d |
Isogeny class |
Conductor |
81396 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
738563335808256 = 28 · 312 · 75 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-240096,45263108] |
[a1,a2,a3,a4,a6] |
j |
8201834332684288/3957493869 |
j-invariant |
L |
2.995491627938 |
L(r)(E,1)/r! |
Ω |
0.49924860707619 |
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 |
27132c1 |
Quadratic twists by: -3 |