Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84216t |
Isogeny class |
Conductor |
84216 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
453115076502528 = 210 · 33 · 117 · 292 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11- -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21336,617472] |
[a1,a2,a3,a4,a6] |
j |
592143556/249777 |
j-invariant |
L |
5.7208378680383 |
L(r)(E,1)/r! |
Ω |
0.47673648691213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7656d1 |
Quadratic twists by: -11 |