Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450ds |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
-229024498950000000 = -1 · 27 · 313 · 58 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-378680,-92506053] |
[a1,a2,a3,a4,a6] |
Generators |
[2969:156465:1] |
Generators of the group modulo torsion |
j |
-21088815109465/804256128 |
j-invariant |
L |
10.80376336466 |
L(r)(E,1)/r! |
Ω |
0.096013203435501 |
Real period |
R |
0.66978408044321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150k1 99450be1 |
Quadratic twists by: -3 5 |