Atkin-Lehner |
2- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
40400o |
Isogeny class |
Conductor |
40400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
404000000 = 28 · 56 · 101 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 6 -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1733,-28337] |
[a1,a2,a3,a4,a6] |
j |
143982592/101 |
j-invariant |
L |
1.4798827742083 |
L(r)(E,1)/r! |
Ω |
0.73994138704968 |
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 |
10100c1 1616d1 |
Quadratic twists by: -4 5 |