Atkin-Lehner |
2- 5- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550by |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-40097158266880000 = -1 · 224 · 54 · 113 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 3 11+ 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-124030,19408397] |
[a1,a2,a3,a4,a6] |
Generators |
[185:-1757:1] |
Generators of the group modulo torsion |
j |
-337614152190933825/64155453227008 |
j-invariant |
L |
11.124320304813 |
L(r)(E,1)/r! |
Ω |
0.34847541773865 |
Real period |
R |
0.66505888516439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550i1 |
Quadratic twists by: 5 |