Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640p |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-228614400000 = -1 · 211 · 36 · 55 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2163,45038] |
[a1,a2,a3,a4,a6] |
Generators |
[22:90:1] |
Generators of the group modulo torsion |
j |
-15298178/3125 |
j-invariant |
L |
4.8565312156599 |
L(r)(E,1)/r! |
Ω |
0.95124753235563 |
Real period |
R |
2.5527168536424 |
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 |
35280bf1 1960n1 88200gd1 17640y1 |
Quadratic twists by: -4 -3 5 -7 |