Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416em |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-882059171954688 = -1 · 215 · 36 · 75 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -1 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22740,547472] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1928:1] |
Generators of the group modulo torsion |
j |
54439939000/36924979 |
j-invariant |
L |
4.8207098574478 |
L(r)(E,1)/r! |
Ω |
0.31424719107869 |
Real period |
R |
3.8351256544664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416fs1 26208bj1 5824r1 |
Quadratic twists by: -4 8 -3 |