Atkin-Lehner |
2- 3- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
56826bd |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2014528624211735478 = -1 · 2 · 318 · 78 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-284891,-89866623] |
[a1,a2,a3,a4,a6] |
Generators |
[123467512:-1387438809:175616] |
Generators of the group modulo torsion |
j |
-3507768660095684713/2763413750633382 |
j-invariant |
L |
8.4807883847975 |
L(r)(E,1)/r! |
Ω |
0.099941381433515 |
Real period |
R |
10.607203271375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18942g4 |
Quadratic twists by: -3 |