Atkin-Lehner |
2- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
4216d |
Isogeny class |
Conductor |
4216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10656 |
Modular degree for the optimal curve |
Δ |
-11972234224 = -1 · 24 · 176 · 31 |
Discriminant |
Eigenvalues |
2- 0 3 3 -4 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72791,7559007] |
[a1,a2,a3,a4,a6] |
Generators |
[4431:4913:27] |
Generators of the group modulo torsion |
j |
-2665856613954845952/748264639 |
j-invariant |
L |
4.3069037458289 |
L(r)(E,1)/r! |
Ω |
1.0174201453772 |
Real period |
R |
1.0582903644571 |
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 |
8432a1 33728c1 37944g1 105400h1 |
Quadratic twists by: -4 8 -3 5 |