Atkin-Lehner |
3- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
2937b |
Isogeny class |
Conductor |
2937 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
152 |
Modular degree for the optimal curve |
Δ |
-2937 = -1 · 3 · 11 · 89 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 11+ 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
-912673/2937 |
j-invariant |
L |
2.6102884137944 |
L(r)(E,1)/r! |
Ω |
1.8450447549026 |
Real period |
R |
1.4147561498758 |
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 |
46992g1 8811f1 73425a1 32307j1 |
Quadratic twists by: -4 -3 5 -11 |