Atkin-Lehner |
2+ 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
25550l |
Isogeny class |
Conductor |
25550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-3577000000000 = -1 · 29 · 59 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -6 2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6450,216500] |
[a1,a2,a3,a4,a6] |
Generators |
[35:170:1] |
Generators of the group modulo torsion |
j |
-15197705333/1831424 |
j-invariant |
L |
5.1947905376057 |
L(r)(E,1)/r! |
Ω |
0.76698158959589 |
Real period |
R |
1.6932578982576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25550x1 |
Quadratic twists by: 5 |