Atkin-Lehner |
3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12675s |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14040 |
Modular degree for the optimal curve |
Δ |
-9050266875 = -1 · 3 · 54 · 136 |
Discriminant |
Eigenvalues |
-2 3+ 5- 3 -2 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1408,-20382] |
[a1,a2,a3,a4,a6] |
j |
-102400/3 |
j-invariant |
L |
1.1669837700775 |
L(r)(E,1)/r! |
Ω |
0.38899459002583 |
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 |
38025cp1 12675bb2 75a1 |
Quadratic twists by: -3 5 13 |