Atkin-Lehner |
3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575bc |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
357840 |
Modular degree for the optimal curve |
Δ |
-195913158984375 = -1 · 3 · 58 · 78 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -1 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11612,-465844] |
[a1,a2,a3,a4,a6] |
j |
76895/87 |
j-invariant |
L |
0.91461891631052 |
L(r)(E,1)/r! |
Ω |
0.30487316340193 |
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 |
106575bq1 106575cs1 |
Quadratic twists by: 5 -7 |