Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fe |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6858432000000 = -1 · 212 · 37 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,-124000] |
[a1,a2,a3,a4,a6] |
Generators |
[61:441:1] |
Generators of the group modulo torsion |
j |
8000/147 |
j-invariant |
L |
6.5306784668132 |
L(r)(E,1)/r! |
Ω |
0.36419213965905 |
Real period |
R |
2.2414948515813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800dh2 50400bi1 33600r2 4032e2 |
Quadratic twists by: -4 8 -3 5 |