Atkin-Lehner |
3- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
127581i |
Isogeny class |
Conductor |
127581 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1921920 |
Modular degree for the optimal curve |
Δ |
-34941467001971529 = -1 · 35 · 232 · 437 |
Discriminant |
Eigenvalues |
-1 3- -1 -1 -3 3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4913756,4192056009] |
[a1,a2,a3,a4,a6] |
Generators |
[-2555:9598:1] [25:63778:1] |
Generators of the group modulo torsion |
j |
-2075648192259481/5527521 |
j-invariant |
L |
8.3132048196501 |
L(r)(E,1)/r! |
Ω |
0.31863758654461 |
Real period |
R |
0.65224609133753 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.00000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2967a1 |
Quadratic twists by: -43 |