Atkin-Lehner |
2+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
968a |
Isogeny class |
Conductor |
968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-340736 = -1 · 28 · 113 |
Discriminant |
Eigenvalues |
2+ 1 1 -4 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15,-13] |
[a1,a2,a3,a4,a6] |
Generators |
[7:22:1] |
Generators of the group modulo torsion |
j |
1024 |
j-invariant |
L |
2.6417815151996 |
L(r)(E,1)/r! |
Ω |
1.6556466338743 |
Real period |
R |
0.199452396812 |
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 |
1936a1 7744c1 8712r1 24200t1 |
Quadratic twists by: -4 8 -3 5 |