Atkin-Lehner |
2+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5642c |
Isogeny class |
Conductor |
5642 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8352 |
Modular degree for the optimal curve |
Δ |
-8379340424 = -1 · 23 · 7 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ -3 3 7+ -2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-133,4477] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1045:1] |
Generators of the group modulo torsion |
j |
-261284780457/8379340424 |
j-invariant |
L |
1.9878625832532 |
L(r)(E,1)/r! |
Ω |
1.0914747044991 |
Real period |
R |
0.91063154054748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45136k1 50778ba1 39494o1 73346bb1 |
Quadratic twists by: -4 -3 -7 13 |