Atkin-Lehner |
3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5445d |
Isogeny class |
Conductor |
5445 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-105480646368075 = -1 · 39 · 52 · 118 |
Discriminant |
Eigenvalues |
-2 3+ 5- 3 11- 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-35937,2668322] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1633:1] |
Generators of the group modulo torsion |
j |
-1216512/25 |
j-invariant |
L |
2.4370041359319 |
L(r)(E,1)/r! |
Ω |
0.59571630124292 |
Real period |
R |
0.34090669933089 |
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 |
87120do1 5445a1 27225o1 5445c1 |
Quadratic twists by: -4 -3 5 -11 |