Atkin-Lehner |
2+ 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14274f |
Isogeny class |
Conductor |
14274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-7510800782779632 = -1 · 24 · 313 · 136 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1350,-4169372] |
[a1,a2,a3,a4,a6] |
j |
-373403541601/10302881732208 |
j-invariant |
L |
3.0465503980125 |
L(r)(E,1)/r! |
Ω |
0.19040939987578 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114192bm1 4758e1 |
Quadratic twists by: -4 -3 |