Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16368f |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
180048 = 24 · 3 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27,-42] |
[a1,a2,a3,a4,a6] |
Generators |
[246:530:27] |
Generators of the group modulo torsion |
j |
141150208/11253 |
j-invariant |
L |
4.8907813672188 |
L(r)(E,1)/r! |
Ω |
2.0985407176849 |
Real period |
R |
4.66112601581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8184e1 65472cn1 49104p1 |
Quadratic twists by: -4 8 -3 |