Atkin-Lehner |
2+ 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105264m |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-15765284016 = -1 · 24 · 36 · 17 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 2 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6,-6041] |
[a1,a2,a3,a4,a6] |
Generators |
[6738:195547:8] |
Generators of the group modulo torsion |
j |
2048/1351619 |
j-invariant |
L |
4.6384914386454 |
L(r)(E,1)/r! |
Ω |
0.57014421841833 |
Real period |
R |
8.1356458487891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52632i1 11696a1 |
Quadratic twists by: -4 -3 |