Atkin-Lehner |
2+ 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105264d |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-136422144 = -1 · 28 · 36 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 0 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63,-594] |
[a1,a2,a3,a4,a6] |
Generators |
[13:28:1] [25:116:1] |
Generators of the group modulo torsion |
j |
-148176/731 |
j-invariant |
L |
9.4481718451214 |
L(r)(E,1)/r! |
Ω |
0.76543883920874 |
Real period |
R |
6.1717353245308 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52632c1 11696f1 |
Quadratic twists by: -4 -3 |