Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920ei |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
48309080400 = 24 · 37 · 52 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-496992,-134856601] |
[a1,a2,a3,a4,a6] |
Generators |
[31216175:1513725444:12167] |
Generators of the group modulo torsion |
j |
1163923388486385664/4141725 |
j-invariant |
L |
7.8749476590742 |
L(r)(E,1)/r! |
Ω |
0.17980932274727 |
Real period |
R |
10.949025762346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28980h1 38640bc1 |
Quadratic twists by: -4 -3 |