Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472cf |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
11469236207616 = 222 · 36 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169697,-26962785] |
[a1,a2,a3,a4,a6] |
Generators |
[23818:3675375:1] |
Generators of the group modulo torsion |
j |
2061621066895417/43751664 |
j-invariant |
L |
10.219931460226 |
L(r)(E,1)/r! |
Ω |
0.23522384960992 |
Real period |
R |
7.2412806476831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472l2 16368q2 |
Quadratic twists by: -4 8 |