Atkin-Lehner |
2- 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43624h |
Isogeny class |
Conductor |
43624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
98560 |
Modular degree for the optimal curve |
Δ |
-220901628172288 = -1 · 211 · 72 · 19 · 415 |
Discriminant |
Eigenvalues |
2- 2 0 7- -3 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4688,727244] |
[a1,a2,a3,a4,a6] |
Generators |
[224290:3302817:1000] |
Generators of the group modulo torsion |
j |
-5564795449250/107862123131 |
j-invariant |
L |
8.7354904313916 |
L(r)(E,1)/r! |
Ω |
0.4713291291132 |
Real period |
R |
9.2668688309511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87248e1 |
Quadratic twists by: -4 |