Atkin-Lehner |
2+ 3- 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
23478l |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-2344184388 = -1 · 22 · 34 · 7 · 13 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -3 13+ 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,298,1244] |
[a1,a2,a3,a4,a6] |
Generators |
[51:361:1] |
Generators of the group modulo torsion |
j |
2940801983783/2344184388 |
j-invariant |
L |
3.7191268524405 |
L(r)(E,1)/r! |
Ω |
0.93669964178329 |
Real period |
R |
0.16543576183788 |
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 |
70434y1 |
Quadratic twists by: -3 |