Atkin-Lehner |
2- 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512bg |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-26933602313472624 = -1 · 24 · 313 · 73 · 11 · 234 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172371,-28654477] |
[a1,a2,a3,a4,a6] |
Generators |
[2477:121417:1] |
Generators of the group modulo torsion |
j |
-48558896031486208/2309122283391 |
j-invariant |
L |
9.7381415898562 |
L(r)(E,1)/r! |
Ω |
0.11682884536133 |
Real period |
R |
5.2096196390075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504c1 |
Quadratic twists by: -3 |