Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950be |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
5376088704000000000 = 216 · 3 · 59 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1243400,521352000] |
[a1,a2,a3,a4,a6] |
Generators |
[405:8985:1] |
Generators of the group modulo torsion |
j |
115650783909361/2924544000 |
j-invariant |
L |
2.5286147781799 |
L(r)(E,1)/r! |
Ω |
0.24079643342036 |
Real period |
R |
1.3126309430959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999296935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bz1 17850p1 |
Quadratic twists by: 5 -7 |