Atkin-Lehner |
2- 11- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115258q |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-14592920610554 = -1 · 2 · 112 · 137 · 312 |
Discriminant |
Eigenvalues |
2- 1 -1 -3 11- 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2961,-194221] |
[a1,a2,a3,a4,a6] |
Generators |
[9268:94907:64] |
Generators of the group modulo torsion |
j |
-594823321/3023306 |
j-invariant |
L |
8.6846753191532 |
L(r)(E,1)/r! |
Ω |
0.29190836863468 |
Real period |
R |
3.7189218501875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866d1 |
Quadratic twists by: 13 |