Atkin-Lehner |
2+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45248c |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
81084416 = 214 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 2 3 7+ 0 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-229,1341] |
[a1,a2,a3,a4,a6] |
Generators |
[90:63:8] |
Generators of the group modulo torsion |
j |
81415168/4949 |
j-invariant |
L |
10.405976561945 |
L(r)(E,1)/r! |
Ω |
1.8935456072326 |
Real period |
R |
2.7477491226486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45248bc1 5656b1 |
Quadratic twists by: -4 8 |