Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640cs |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
548903174400 = 28 · 36 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3087,-55566] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:98:1] |
Generators of the group modulo torsion |
j |
148176/25 |
j-invariant |
L |
5.1918055919648 |
L(r)(E,1)/r! |
Ω |
0.64785071638045 |
Real period |
R |
1.0017364843269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35280ck2 1960b2 88200ct2 360e2 |
Quadratic twists by: -4 -3 5 -7 |