Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49504r |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
231552 |
Modular degree for the optimal curve |
Δ |
-111504393728 = -1 · 29 · 73 · 133 · 172 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -1 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449904,116302420] |
[a1,a2,a3,a4,a6] |
Generators |
[10452:442:27] [52:9646:1] |
Generators of the group modulo torsion |
j |
-19670449288566480776/217782019 |
j-invariant |
L |
7.3264939455798 |
L(r)(E,1)/r! |
Ω |
0.74011485232751 |
Real period |
R |
0.27497586363866 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49504j1 99008cn1 |
Quadratic twists by: -4 8 |