Atkin-Lehner |
3- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
127581g |
Isogeny class |
Conductor |
127581 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
423024 |
Modular degree for the optimal curve |
Δ |
-5425637187 = -1 · 3 · 232 · 434 |
Discriminant |
Eigenvalues |
2 3- 4 1 -2 1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-19106,1010153] |
[a1,a2,a3,a4,a6] |
Generators |
[1432524:40729951:1728] |
Generators of the group modulo torsion |
j |
-225622257664/1587 |
j-invariant |
L |
24.467148371339 |
L(r)(E,1)/r! |
Ω |
1.2132436610694 |
Real period |
R |
10.083361288965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127581f1 |
Quadratic twists by: -43 |