Atkin-Lehner |
2- 3- 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690cb |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-1334018211840 = -1 · 215 · 38 · 5 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2578,22781] |
[a1,a2,a3,a4,a6] |
Generators |
[9:211:1] |
Generators of the group modulo torsion |
j |
2600176603751/1829928960 |
j-invariant |
L |
13.411304532916 |
L(r)(E,1)/r! |
Ω |
0.54306116273702 |
Real period |
R |
0.41159588771607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230j1 |
Quadratic twists by: -3 |