Atkin-Lehner |
2- 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36660h |
Isogeny class |
Conductor |
36660 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
179194080000 = 28 · 3 · 54 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9796,369380] |
[a1,a2,a3,a4,a6] |
Generators |
[172:1950:1] |
Generators of the group modulo torsion |
j |
406138732653904/699976875 |
j-invariant |
L |
7.5985920218458 |
L(r)(E,1)/r! |
Ω |
1.0135975884993 |
Real period |
R |
1.2494425973487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109980x2 |
Quadratic twists by: -3 |