Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440ed |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
2628159921192960 = 218 · 312 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46227,-2924206] |
[a1,a2,a3,a4,a6] |
j |
3658671062929/880165440 |
j-invariant |
L |
1.3251434996897 |
L(r)(E,1)/r! |
Ω |
0.33128587504914 |
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 |
6930q1 18480bp1 |
Quadratic twists by: -4 -3 |