Atkin-Lehner |
3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
25143c |
Isogeny class |
Conductor |
25143 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-963885542877 = -1 · 34 · 177 · 29 |
Discriminant |
Eigenvalues |
1 3+ 2 -1 0 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2451,-6138] |
[a1,a2,a3,a4,a6] |
j |
67419143/39933 |
j-invariant |
L |
2.0624757972173 |
L(r)(E,1)/r! |
Ω |
0.51561894930436 |
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 |
75429h1 1479e1 |
Quadratic twists by: -3 17 |