Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176r |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
1206337536 = 214 · 36 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -2 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4656,122272] |
[a1,a2,a3,a4,a6] |
j |
934577152/101 |
j-invariant |
L |
2.9509683584945 |
L(r)(E,1)/r! |
Ω |
1.4754841787783 |
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 |
58176bw1 7272c1 6464j1 |
Quadratic twists by: -4 8 -3 |