Atkin-Lehner |
3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5445c |
Isogeny class |
Conductor |
5445 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-59541075 = -1 · 39 · 52 · 112 |
Discriminant |
Eigenvalues |
2 3+ 5- -3 11- -2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-297,-2005] |
[a1,a2,a3,a4,a6] |
Generators |
[162:131:8] |
Generators of the group modulo torsion |
j |
-1216512/25 |
j-invariant |
L |
7.2306391176426 |
L(r)(E,1)/r! |
Ω |
0.57431714310833 |
Real period |
R |
3.1474940302621 |
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 |
87120dm1 5445b1 27225p1 5445d1 |
Quadratic twists by: -4 -3 5 -11 |