Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920bc |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-22471451244000000 = -1 · 28 · 312 · 56 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26004,-7020720] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1674:1] |
Generators of the group modulo torsion |
j |
7596044805045296/87779106421875 |
j-invariant |
L |
6.5649293660137 |
L(r)(E,1)/r! |
Ω |
0.18737605796621 |
Real period |
R |
0.72991909039231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840f2 122760y2 |
Quadratic twists by: -4 -3 |