Atkin-Lehner |
2- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40672c |
Isogeny class |
Conductor |
40672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
75393654513152 = 29 · 31 · 416 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 6 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23304,1311800] |
[a1,a2,a3,a4,a6] |
j |
2733781510651976/147253231471 |
j-invariant |
L |
1.2078614982951 |
L(r)(E,1)/r! |
Ω |
0.60393074913397 |
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 |
40672b2 81344b2 |
Quadratic twists by: -4 8 |