Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960i |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18800640000000000 = 222 · 33 · 510 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-266028,52399152] |
[a1,a2,a3,a4,a6] |
Generators |
[1432:51068:1] |
Generators of the group modulo torsion |
j |
294172502025843/2656250000 |
j-invariant |
L |
5.0989541096884 |
L(r)(E,1)/r! |
Ω |
0.38858964349617 |
Real period |
R |
6.5608466347699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960dm2 1530j2 48960bc2 |
Quadratic twists by: -4 8 -3 |