Atkin-Lehner |
2- 3+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
19272c |
Isogeny class |
Conductor |
19272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
876053805910272 = 28 · 318 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29188,-1277180] |
[a1,a2,a3,a4,a6] |
j |
10742655249394000/3422085179337 |
j-invariant |
L |
1.4977808971575 |
L(r)(E,1)/r! |
Ω |
0.37444522428938 |
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 |
38544e1 57816c1 |
Quadratic twists by: -4 -3 |