Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600bn |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
134873088000000000 = 226 · 3 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128833,2185537] |
[a1,a2,a3,a4,a6] |
j |
461889917/263424 |
j-invariant |
L |
0.56299650639787 |
L(r)(E,1)/r! |
Ω |
0.28149825320082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600hj1 1050r1 100800gs1 33600ds1 |
Quadratic twists by: -4 8 -3 5 |