Atkin-Lehner |
2- 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bm |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4816896 |
Modular degree for the optimal curve |
Δ |
-8.0614331940476E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4800799,-1507769340] |
[a1,a2,a3,a4,a6] |
j |
764793536434433585954816/503839574627972281875 |
j-invariant |
L |
0.14959325434786 |
L(r)(E,1)/r! |
Ω |
0.074796651603399 |
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 |
20460l1 |
Quadratic twists by: -4 |