Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450r |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2649600 |
Modular degree for the optimal curve |
Δ |
-1.8602567704501E+19 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 -1 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,661550,-12717250] |
[a1,a2,a3,a4,a6] |
Generators |
[685:-27955:1] |
Generators of the group modulo torsion |
j |
7604375/4418 |
j-invariant |
L |
0.88281516867152 |
L(r)(E,1)/r! |
Ω |
0.1289119943397 |
Real period |
R |
1.1413667384394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999266005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450y1 2350h1 |
Quadratic twists by: 5 -47 |