Atkin-Lehner |
2- 3- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12654n |
Isogeny class |
Conductor |
12654 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
6872485304347047936 = 211 · 320 · 19 · 373 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -1 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-530456,78899739] |
[a1,a2,a3,a4,a6] |
j |
22643497811986095673/9427277509392384 |
j-invariant |
L |
4.7080588364885 |
L(r)(E,1)/r! |
Ω |
0.21400267438584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101232x1 4218b1 |
Quadratic twists by: -4 -3 |