Atkin-Lehner |
2- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40040q |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25327880907929600 = 211 · 52 · 7 · 114 · 136 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-443360,113221408] |
[a1,a2,a3,a4,a6] |
j |
4706133737757842882/12367129349575 |
j-invariant |
L |
1.5134689642268 |
L(r)(E,1)/r! |
Ω |
0.37836724104488 |
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 |
80080m2 |
Quadratic twists by: -4 |