Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22344o |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
322560 |
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 |
4.5828966894225 |
L(r)(E,1)/r! |
Ω |
0.14321552154445 |
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 |
44688d1 67032bu1 22344l1 |
Quadratic twists by: -4 -3 -7 |