Atkin-Lehner |
5- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112385j |
Isogeny class |
Conductor |
112385 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-192669924799625 = -1 · 53 · 75 · 136 · 19 |
Discriminant |
Eigenvalues |
1 -1 5- 7+ -4 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10813,513154] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:526:1] [18:-854:1] |
Generators of the group modulo torsion |
j |
28962726911/39916625 |
j-invariant |
L |
11.002068593336 |
L(r)(E,1)/r! |
Ω |
0.38258036942982 |
Real period |
R |
4.7929225984895 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
665a1 |
Quadratic twists by: 13 |