Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3496f |
Isogeny class |
Conductor |
3496 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
894976 = 211 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 1 3 -2 -1 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:2:1] |
Generators of the group modulo torsion |
j |
778034/437 |
j-invariant |
L |
4.3539999987046 |
L(r)(E,1)/r! |
Ω |
2.3120380650949 |
Real period |
R |
1.8831869874625 |
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 |
6992c1 27968g1 31464l1 87400k1 |
Quadratic twists by: -4 8 -3 5 |