Atkin-Lehner |
3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74727d |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3578688 |
Modular degree for the optimal curve |
Δ |
-6.3838544113565E+19 |
Discriminant |
Eigenvalues |
1 3+ 4 3 -4 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1979250,-1138123837] |
[a1,a2,a3,a4,a6] |
Generators |
[254471101785321058007566071400:21280292707090478900957436779833:34539787417878416296000000] |
Generators of the group modulo torsion |
j |
-7105563/529 |
j-invariant |
L |
11.406156063721 |
L(r)(E,1)/r! |
Ω |
0.063370899281337 |
Real period |
R |
44.997610074472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74727c1 74727b1 |
Quadratic twists by: -3 -19 |