Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640m |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-112831891200 = -1 · 28 · 32 · 52 · 7 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180,-16128] |
[a1,a2,a3,a4,a6] |
Generators |
[64:480:1] |
Generators of the group modulo torsion |
j |
-2533446736/440749575 |
j-invariant |
L |
5.4341697646504 |
L(r)(E,1)/r! |
Ω |
0.46902806946655 |
Real period |
R |
2.8965056242961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320ba1 115920bc1 |
Quadratic twists by: -4 -3 |