Atkin-Lehner |
2- 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
84270bj |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
792 |
Product of Tamagawa factors cp |
deg |
384164352 |
Modular degree for the optimal curve |
Δ |
1.7735474320027E+32 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14290123230,-147570990412773] |
[a1,a2,a3,a4,a6] |
j |
97802241300184795037/53747712000000000 |
j-invariant |
L |
2.9233906222745 |
L(r)(E,1)/r! |
Ω |
0.014764599143817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84270q1 |
Quadratic twists by: 53 |