Atkin-Lehner |
3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
14157f |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-1121626343541998151 = -1 · 39 · 1110 · 133 |
Discriminant |
Eigenvalues |
-1 3+ -2 2 11- 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17764,-50950754] |
[a1,a2,a3,a4,a6] |
Generators |
[598:12863:1] |
Generators of the group modulo torsion |
j |
17779581/32166277 |
j-invariant |
L |
2.6046596304337 |
L(r)(E,1)/r! |
Ω |
0.12780630703353 |
Real period |
R |
3.3966237541919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14157e1 1287b1 |
Quadratic twists by: -3 -11 |