Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1008g |
Isogeny class |
Conductor |
1008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
244944 = 24 · 37 · 7 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66,-205] |
[a1,a2,a3,a4,a6] |
Generators |
[11:20:1] |
Generators of the group modulo torsion |
j |
2725888/21 |
j-invariant |
L |
2.3063814703383 |
L(r)(E,1)/r! |
Ω |
1.6757734404935 |
Real period |
R |
2.7526172865697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
504f1 4032bh1 336b1 25200u1 |
Quadratic twists by: -4 8 -3 5 |