Atkin-Lehner |
2- 3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105264x |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-149478248448 = -1 · 212 · 33 · 17 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 0 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2307,46530] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:258:1] |
Generators of the group modulo torsion |
j |
-12278428443/1351619 |
j-invariant |
L |
3.3296208988124 |
L(r)(E,1)/r! |
Ω |
1.0014586287514 |
Real period |
R |
0.27706427514359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999970197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6579a1 105264bd1 |
Quadratic twists by: -4 -3 |