Atkin-Lehner |
7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2891a |
Isogeny class |
Conductor |
2891 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1092 |
Modular degree for the optimal curve |
Δ |
-340123259 = -1 · 78 · 59 |
Discriminant |
Eigenvalues |
1 1 2 7+ 4 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-565,5191] |
[a1,a2,a3,a4,a6] |
Generators |
[5:47:1] |
Generators of the group modulo torsion |
j |
-3451273/59 |
j-invariant |
L |
4.9492738876125 |
L(r)(E,1)/r! |
Ω |
1.711311072854 |
Real period |
R |
2.8920948190667 |
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 |
46256w1 26019f1 72275a1 2891b1 |
Quadratic twists by: -4 -3 5 -7 |