Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978n |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27285414408 = 23 · 38 · 72 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3591,83349] |
[a1,a2,a3,a4,a6] |
j |
7026036894577/37428552 |
j-invariant |
L |
2.3837045906072 |
L(r)(E,1)/r! |
Ω |
1.1918522953036 |
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 |
103824bk2 4326n2 90846bi2 |
Quadratic twists by: -4 -3 -7 |