Atkin-Lehner |
2+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16744c |
Isogeny class |
Conductor |
16744 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-633860864 = -1 · 28 · 72 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ -3 -1 7+ -3 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,212,-236] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-182:1] [9:49:1] |
Generators of the group modulo torsion |
j |
4116151296/2476019 |
j-invariant |
L |
4.2424182000701 |
L(r)(E,1)/r! |
Ω |
0.94406835394769 |
Real period |
R |
0.18724007034419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33488k1 117208c1 |
Quadratic twists by: -4 -7 |