Atkin-Lehner |
2+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29584b |
Isogeny class |
Conductor |
29584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
-20353792 = -1 · 28 · 433 |
Discriminant |
Eigenvalues |
2+ 2 2 2 3 -5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57,293] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:21:1] |
Generators of the group modulo torsion |
j |
-1024 |
j-invariant |
L |
9.7651529290285 |
L(r)(E,1)/r! |
Ω |
1.9687960150027 |
Real period |
R |
2.4799808752699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14792e1 118336bb1 29584c1 |
Quadratic twists by: -4 8 -43 |