Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
4944i |
Isogeny class |
Conductor |
4944 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-711936 = -1 · 28 · 33 · 103 |
Discriminant |
Eigenvalues |
2- 3- 1 0 0 -5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260,-1704] |
[a1,a2,a3,a4,a6] |
Generators |
[19:24:1] |
Generators of the group modulo torsion |
j |
-7622072656/2781 |
j-invariant |
L |
4.6757549385933 |
L(r)(E,1)/r! |
Ω |
0.59426151935219 |
Real period |
R |
2.6227257340003 |
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 |
1236a1 19776u1 14832i1 123600bb1 |
Quadratic twists by: -4 8 -3 5 |