Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640cu |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-23534223602400000 = -1 · 28 · 36 · 55 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 5 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-181692,30709476] |
[a1,a2,a3,a4,a6] |
Generators |
[112:3430:1] |
Generators of the group modulo torsion |
j |
-30211716096/1071875 |
j-invariant |
L |
6.0072932063448 |
L(r)(E,1)/r! |
Ω |
0.37727066807887 |
Real period |
R |
0.39807581894287 |
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 |
35280cs1 1960d1 88200cz1 2520p1 |
Quadratic twists by: -4 -3 5 -7 |