Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
104430r |
Isogeny class |
Conductor |
104430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-14310360993780 = -1 · 22 · 310 · 5 · 594 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5149,115733] |
[a1,a2,a3,a4,a6] |
Generators |
[1806:27767:8] |
Generators of the group modulo torsion |
j |
1245888191/1180980 |
j-invariant |
L |
8.4184089484753 |
L(r)(E,1)/r! |
Ω |
0.46128554430868 |
Real period |
R |
1.5208238980685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104430c1 |
Quadratic twists by: -59 |