Atkin-Lehner |
2+ 3+ 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838o |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
-408811797398511234 = -1 · 2 · 318 · 72 · 135 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 0 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-588613,-176763929] |
[a1,a2,a3,a4,a6] |
j |
-460276003793483932201/8343097906092066 |
j-invariant |
L |
0.86088549612736 |
L(r)(E,1)/r! |
Ω |
0.086088471988836 |
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 |
110838s1 |
Quadratic twists by: -7 |