Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200dj |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-45106875000000 = -1 · 26 · 38 · 510 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2325,326000] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:450:1] |
Generators of the group modulo torsion |
j |
-1906624/61875 |
j-invariant |
L |
7.5783507646601 |
L(r)(E,1)/r! |
Ω |
0.53335084710062 |
Real period |
R |
1.7761176357585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200ec1 26400i1 15840e1 |
Quadratic twists by: -4 -3 5 |