Atkin-Lehner |
2+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
10082c |
Isogeny class |
Conductor |
10082 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
2863288 = 23 · 713 |
Discriminant |
Eigenvalues |
2+ 1 0 -3 -6 -3 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-141,624] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:38:1] [6:-1:1] |
Generators of the group modulo torsion |
j |
857375/8 |
j-invariant |
L |
4.7697453158783 |
L(r)(E,1)/r! |
Ω |
2.5559820619318 |
Real period |
R |
0.9330553189157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80656m1 90738y1 10082b1 |
Quadratic twists by: -4 -3 -71 |