Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640bp |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-173560320 = -1 · 29 · 37 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -3 2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-934] |
[a1,a2,a3,a4,a6] |
Generators |
[70:576:1] |
Generators of the group modulo torsion |
j |
-941192/465 |
j-invariant |
L |
7.9740393149636 |
L(r)(E,1)/r! |
Ω |
0.66982374824303 |
Real period |
R |
2.9761707224776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44640u1 89280bw1 14880b1 |
Quadratic twists by: -4 8 -3 |