Atkin-Lehner |
2- 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512be |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-103280525153068032 = -1 · 210 · 319 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11595,15469526] |
[a1,a2,a3,a4,a6] |
Generators |
[1402:52488:1] |
Generators of the group modulo torsion |
j |
-230944958500/138353755617 |
j-invariant |
L |
5.8307705820141 |
L(r)(E,1)/r! |
Ω |
0.27161087378172 |
Real period |
R |
2.6834209946372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504a1 |
Quadratic twists by: -3 |