Atkin-Lehner |
3- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51471n |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-574429793931 = -1 · 315 · 72 · 19 · 43 |
Discriminant |
Eigenvalues |
0 3- -3 7- 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-254694,-49473918] |
[a1,a2,a3,a4,a6] |
Generators |
[11266:390659:8] |
Generators of the group modulo torsion |
j |
-2506411220823212032/787969539 |
j-invariant |
L |
2.8702150932864 |
L(r)(E,1)/r! |
Ω |
0.10625879149997 |
Real period |
R |
6.7528885204603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17157k1 |
Quadratic twists by: -3 |