Atkin-Lehner |
7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5621d |
Isogeny class |
Conductor |
5621 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3040 |
Modular degree for the optimal curve |
Δ |
-82297061 = -1 · 7 · 115 · 73 |
Discriminant |
Eigenvalues |
-1 -3 -3 7- 11- -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-159,924] |
[a1,a2,a3,a4,a6] |
Generators |
[18:51:1] |
Generators of the group modulo torsion |
j |
-441928354113/82297061 |
j-invariant |
L |
0.89778688835736 |
L(r)(E,1)/r! |
Ω |
1.846684177832 |
Real period |
R |
0.097232314992959 |
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 |
89936l1 50589l1 39347h1 61831c1 |
Quadratic twists by: -4 -3 -7 -11 |