Atkin-Lehner |
2- 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107484a |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
228433717191888 = 24 · 34 · 137 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56333,5113458] |
[a1,a2,a3,a4,a6] |
Generators |
[3658:69165:8] |
Generators of the group modulo torsion |
j |
256000000000/2957877 |
j-invariant |
L |
4.9379759479271 |
L(r)(E,1)/r! |
Ω |
0.56066356881023 |
Real period |
R |
4.4036889626797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8268b1 |
Quadratic twists by: 13 |