Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12675y |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
-114712132640625 = -1 · 32 · 56 · 138 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42338,3388917] |
[a1,a2,a3,a4,a6] |
j |
-658489/9 |
j-invariant |
L |
1.1867008196803 |
L(r)(E,1)/r! |
Ω |
0.59335040984014 |
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 |
38025be1 507a1 12675v1 |
Quadratic twists by: -3 5 13 |