Atkin-Lehner |
2+ 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87248j |
Isogeny class |
Conductor |
87248 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-67758354700288 = -1 · 211 · 76 · 193 · 41 |
Discriminant |
Eigenvalues |
2+ -2 -4 7- -5 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31960,2223924] |
[a1,a2,a3,a4,a6] |
Generators |
[106:196:1] [-174:1596:1] |
Generators of the group modulo torsion |
j |
-1762899929365682/33085134131 |
j-invariant |
L |
4.8427411877829 |
L(r)(E,1)/r! |
Ω |
0.61858286506127 |
Real period |
R |
0.10873287649552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43624a1 |
Quadratic twists by: -4 |