Atkin-Lehner |
2- 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270cd |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1034880 |
Modular degree for the optimal curve |
Δ |
-393871582304640 = -1 · 27 · 32 · 5 · 119 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-412915,-102165535] |
[a1,a2,a3,a4,a6] |
Generators |
[32214:880987:27] |
Generators of the group modulo torsion |
j |
-3301958349971/167040 |
j-invariant |
L |
13.092011456519 |
L(r)(E,1)/r! |
Ω |
0.094167940094341 |
Real period |
R |
4.9652974945638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105270ba1 |
Quadratic twists by: -11 |