Atkin-Lehner |
2+ 3- 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
12354d |
Isogeny class |
Conductor |
12354 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
314459092317220056 = 23 · 37 · 294 · 714 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-181635,12627526] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:4821:1] |
Generators of the group modulo torsion |
j |
662702928525736189993/314459092317220056 |
j-invariant |
L |
4.1593534519771 |
L(r)(E,1)/r! |
Ω |
0.27277772298654 |
Real period |
R |
1.0891529993301 |
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 |
98832g4 37062m4 |
Quadratic twists by: -4 -3 |