Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2904j |
Isogeny class |
Conductor |
2904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-812934144 = -1 · 210 · 38 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,224,-548] |
[a1,a2,a3,a4,a6] |
Generators |
[46:324:1] |
Generators of the group modulo torsion |
j |
9987164/6561 |
j-invariant |
L |
2.7057944777939 |
L(r)(E,1)/r! |
Ω |
0.90599936819492 |
Real period |
R |
0.74663255096548 |
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 |
5808l1 23232bp1 8712i1 72600bg1 |
Quadratic twists by: -4 8 -3 5 |