Atkin-Lehner |
2+ 3+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12126a |
Isogeny class |
Conductor |
12126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-52487654473728 = -1 · 226 · 32 · 432 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6381,397341] |
[a1,a2,a3,a4,a6] |
Generators |
[45:429:1] |
Generators of the group modulo torsion |
j |
-28740630170206297/52487654473728 |
j-invariant |
L |
2.5134568822545 |
L(r)(E,1)/r! |
Ω |
0.56374115155682 |
Real period |
R |
2.2292650406249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97008bb1 36378i1 |
Quadratic twists by: -4 -3 |