Atkin-Lehner |
2- 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40040r |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2973849188710400 = 211 · 52 · 75 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-714000,232441100] |
[a1,a2,a3,a4,a6] |
j |
19655722104996852002/1452074799175 |
j-invariant |
L |
4.2923203787374 |
L(r)(E,1)/r! |
Ω |
0.42923203787468 |
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 |
80080l2 |
Quadratic twists by: -4 |