Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1666c |
Isogeny class |
Conductor |
1666 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-2739182501888 = -1 · 226 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3 -2 7+ -5 -3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1528,83264] |
[a1,a2,a3,a4,a6] |
Generators |
[-1392:4792:27] |
Generators of the group modulo torsion |
j |
-164384733177/1140850688 |
j-invariant |
L |
2.9782309218072 |
L(r)(E,1)/r! |
Ω |
0.69449555281476 |
Real period |
R |
2.1441684613649 |
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 |
13328l1 53312i1 14994cb1 41650bm1 |
Quadratic twists by: -4 8 -3 5 |