Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976f |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
574464 = 210 · 3 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11- -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184,1024] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:42:1] [0:32:1] |
Generators of the group modulo torsion |
j |
676449508/561 |
j-invariant |
L |
4.3555561365986 |
L(r)(E,1)/r! |
Ω |
2.887562188359 |
Real period |
R |
1.5083852234105 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4488g1 35904cl1 26928o1 98736t1 |
Quadratic twists by: -4 8 -3 -11 |