Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544cf |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28741383401472 = 212 · 33 · 76 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112128,-14412096] |
[a1,a2,a3,a4,a6] |
j |
323535264625/59643 |
j-invariant |
L |
2.0872072502582 |
L(r)(E,1)/r! |
Ω |
0.26090086392662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6909i2 2256l2 |
Quadratic twists by: -4 -7 |