Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600gh |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
180633600000000 = 220 · 32 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37633,-2747137] |
[a1,a2,a3,a4,a6] |
Generators |
[3653:220500:1] |
Generators of the group modulo torsion |
j |
1439069689/44100 |
j-invariant |
L |
6.0559512694945 |
L(r)(E,1)/r! |
Ω |
0.34341627475425 |
Real period |
R |
4.4086082363363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600y2 8400bk2 100800lx2 6720bv2 |
Quadratic twists by: -4 8 -3 5 |