Atkin-Lehner |
2+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4288a |
Isogeny class |
Conductor |
4288 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
400 |
Modular degree for the optimal curve |
Δ |
-4288 = -1 · 26 · 67 |
Discriminant |
Eigenvalues |
2+ 2 -2 -2 4 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49,-117] |
[a1,a2,a3,a4,a6] |
Generators |
[282:541:27] |
Generators of the group modulo torsion |
j |
-207474688/67 |
j-invariant |
L |
4.3666480882307 |
L(r)(E,1)/r! |
Ω |
0.90069143051325 |
Real period |
R |
4.8481066215346 |
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 |
4288f1 67a1 38592n1 107200v1 |
Quadratic twists by: -4 8 -3 5 |