Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
3264p |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-76406976 = -1 · 26 · 35 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 -5 5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55,431] |
[a1,a2,a3,a4,a6] |
Generators |
[14:51:1] |
Generators of the group modulo torsion |
j |
-292754944/1193859 |
j-invariant |
L |
4.0057940341613 |
L(r)(E,1)/r! |
Ω |
1.6872263710861 |
Real period |
R |
0.15827925652848 |
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 |
3264f1 1632g1 9792i1 81600g1 |
Quadratic twists by: -4 8 -3 5 |