Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
348a |
Isogeny class |
Conductor |
348 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12 |
Modular degree for the optimal curve |
Δ |
-1392 = -1 · 24 · 3 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 -3 -3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2,1] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
32000/87 |
j-invariant |
L |
1.4721036783364 |
L(r)(E,1)/r! |
Ω |
3.3700624663336 |
Real period |
R |
0.14560597348392 |
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 |
1392o1 5568i1 1044e1 8700o1 |
Quadratic twists by: -4 8 -3 5 |