Atkin-Lehner |
2+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3784b |
Isogeny class |
Conductor |
3784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
915728 = 24 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ 2 2 -1 11+ -6 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32,-43] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
233644288/57233 |
j-invariant |
L |
4.9909777429865 |
L(r)(E,1)/r! |
Ω |
2.0379009496408 |
Real period |
R |
1.2245388432314 |
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 |
7568g1 30272t1 34056x1 94600q1 |
Quadratic twists by: -4 8 -3 5 |