Atkin-Lehner |
2- 3- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906bb |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
8601600 |
Modular degree for the optimal curve |
Δ |
-2.9387788849736E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,35532715,-12515134291] |
[a1,a2,a3,a4,a6] |
Generators |
[30351:5372224:1] |
Generators of the group modulo torsion |
j |
6805834325532424207568375/4031246755793667750912 |
j-invariant |
L |
7.1918880296991 |
L(r)(E,1)/r! |
Ω |
0.046987223536499 |
Real period |
R |
7.6530251081192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16302i1 |
Quadratic twists by: -3 |