Atkin-Lehner |
2+ 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856j |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-6747435565056 = -1 · 223 · 33 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 -3 -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3084,141296] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:372:1] [-2:384:1] |
Generators of the group modulo torsion |
j |
-458314011/953312 |
j-invariant |
L |
5.6048905913932 |
L(r)(E,1)/r! |
Ω |
0.66612863482233 |
Real period |
R |
0.35058860371173 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17856bn1 558b1 17856i2 |
Quadratic twists by: -4 8 -3 |