Atkin-Lehner |
2+ 11+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115258b |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8486400 |
Modular degree for the optimal curve |
Δ |
-1.5774864058733E+22 |
Discriminant |
Eigenvalues |
2+ -2 1 2 11+ 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2641297,-5812350750] |
[a1,a2,a3,a4,a6] |
Generators |
[1811313:134310716:343] |
Generators of the group modulo torsion |
j |
14782304351711/114427945984 |
j-invariant |
L |
3.7016666723777 |
L(r)(E,1)/r! |
Ω |
0.061642213910112 |
Real period |
R |
7.5063547636823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000173308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115258u1 |
Quadratic twists by: 13 |