Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800bi |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-6914880000000 = -1 · 212 · 32 · 57 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4367,59137] |
[a1,a2,a3,a4,a6] |
Generators |
[1:252:1] |
Generators of the group modulo torsion |
j |
143877824/108045 |
j-invariant |
L |
4.1686460225852 |
L(r)(E,1)/r! |
Ω |
0.47779927673584 |
Real period |
R |
1.0905850598665 |
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 |
16800p4 33600cz1 50400bm2 3360m4 |
Quadratic twists by: -4 8 -3 5 |