Atkin-Lehner |
2+ 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
29264a |
Isogeny class |
Conductor |
29264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-907184 = -1 · 24 · 312 · 59 |
Discriminant |
Eigenvalues |
2+ 1 -1 1 2 0 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31,-92] |
[a1,a2,a3,a4,a6] |
j |
-212629504/56699 |
j-invariant |
L |
1.9901797430559 |
L(r)(E,1)/r! |
Ω |
0.99508987152865 |
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 |
14632b1 117056k1 |
Quadratic twists by: -4 8 |