Atkin-Lehner |
2- 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40040f |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-101340368370841600 = -1 · 211 · 52 · 712 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,113317,4360918] |
[a1,a2,a3,a4,a6] |
j |
78574018497804702/49482601743575 |
j-invariant |
L |
0.83441839447736 |
L(r)(E,1)/r! |
Ω |
0.20860459861774 |
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 |
80080d3 |
Quadratic twists by: -4 |