Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688d |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1207029715221222144 = -1 · 28 · 316 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -3 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,181676,43593712] |
[a1,a2,a3,a4,a6] |
j |
449355140528/817887699 |
j-invariant |
L |
2.2542915408325 |
L(r)(E,1)/r! |
Ω |
0.18785762841081 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344o1 44688be1 |
Quadratic twists by: -4 -7 |