Atkin-Lehner |
3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
67725bf |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
246857625 = 38 · 53 · 7 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2525,49452] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:300:1] [24:35:1] |
Generators of the group modulo torsion |
j |
19530306557/2709 |
j-invariant |
L |
6.3213526367864 |
L(r)(E,1)/r! |
Ω |
1.692682075582 |
Real period |
R |
3.7345185655292 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22575i1 67725bg1 |
Quadratic twists by: -3 5 |