Atkin-Lehner |
2+ 3+ 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126990c |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1756160 |
Modular degree for the optimal curve |
Δ |
-18391379323860000 = -1 · 25 · 33 · 54 · 177 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 -3 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-255180,-49979024] |
[a1,a2,a3,a4,a6] |
j |
-68061388472635959387/681162197180000 |
j-invariant |
L |
2.9720540375207 |
L(r)(E,1)/r! |
Ω |
0.10614478724833 |
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 |
126990bo1 |
Quadratic twists by: -3 |