Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13600w |
Isogeny class |
Conductor |
13600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3968 |
Modular degree for the optimal curve |
Δ |
-1088000 = -1 · 29 · 53 · 17 |
Discriminant |
Eigenvalues |
2- -3 5- 4 -6 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5,-50] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] |
Generators of the group modulo torsion |
j |
216/17 |
j-invariant |
L |
2.8246308775387 |
L(r)(E,1)/r! |
Ω |
1.3123289980807 |
Real period |
R |
0.53809503593798 |
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 |
13600i1 27200bh1 122400by1 13600l1 |
Quadratic twists by: -4 8 -3 5 |