Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978p |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2380800 |
Modular degree for the optimal curve |
Δ |
3.6497660158241E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51342921,138599397517] |
[a1,a2,a3,a4,a6] |
j |
20532314472722162933444497/500653774461465805824 |
j-invariant |
L |
0.95319229408811 |
L(r)(E,1)/r! |
Ω |
0.095319229408811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103824bo1 4326j1 90846bm1 |
Quadratic twists by: -4 -3 -7 |