Atkin-Lehner |
2- 3+ 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990bm |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
562176 |
Modular degree for the optimal curve |
Δ |
-379240586685000 = -1 · 23 · 33 · 54 · 173 · 833 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6832,-913093] |
[a1,a2,a3,a4,a6] |
j |
1306360722758013/14045947655000 |
j-invariant |
L |
3.1649055017851 |
L(r)(E,1)/r! |
Ω |
0.26374211366905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126990d2 |
Quadratic twists by: -3 |