Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176s |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
1206337536 = 214 · 36 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -6 -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2496,-47968] |
[a1,a2,a3,a4,a6] |
j |
143982592/101 |
j-invariant |
L |
1.3509419619506 |
L(r)(E,1)/r! |
Ω |
0.67547098153129 |
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 |
58176by1 3636c1 6464h1 |
Quadratic twists by: -4 8 -3 |