Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560bm |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1040833500000000000 = -1 · 211 · 3 · 512 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-218216,62766420] |
[a1,a2,a3,a4,a6] |
j |
-561119707443442898/508219482421875 |
j-invariant |
L |
4.0458838508025 |
L(r)(E,1)/r! |
Ω |
0.25286774067519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280d4 114240hy3 85680bz3 |
Quadratic twists by: -4 8 -3 |