Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200hv |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-63825408000000000 = -1 · 218 · 38 · 59 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35967,11880063] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:3300:1] |
Generators of the group modulo torsion |
j |
1256216039/15582375 |
j-invariant |
L |
10.830805540596 |
L(r)(E,1)/r! |
Ω |
0.25808776491215 |
Real period |
R |
2.6228494291704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200bl1 22800ch1 18240bt1 |
Quadratic twists by: -4 8 5 |