Atkin-Lehner |
2+ 3- 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
46056a |
Isogeny class |
Conductor |
46056 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-26368860973824 = -1 · 28 · 312 · 19 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 -1 -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1879,245691] |
[a1,a2,a3,a4,a6] |
Generators |
[643:16362:1] [37:-606:1] |
Generators of the group modulo torsion |
j |
2864395191296/103003363179 |
j-invariant |
L |
10.052542009061 |
L(r)(E,1)/r! |
Ω |
0.50509975873251 |
Real period |
R |
0.20731346125331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92112b1 |
Quadratic twists by: -4 |