Atkin-Lehner |
2+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9184b |
Isogeny class |
Conductor |
9184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1856 |
Modular degree for the optimal curve |
Δ |
146944 = 29 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ -3 -3 7+ 2 -4 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19,-26] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] [-2:2:1] |
Generators of the group modulo torsion |
j |
1481544/287 |
j-invariant |
L |
3.2811032676926 |
L(r)(E,1)/r! |
Ω |
2.3175284316467 |
Real period |
R |
0.70788846058779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9184d1 18368f1 82656bd1 64288f1 |
Quadratic twists by: -4 8 -3 -7 |