Atkin-Lehner |
2- 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550bk |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
21727062500 = 22 · 56 · 112 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11+ 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1288,15781] |
[a1,a2,a3,a4,a6] |
Generators |
[38:769:8] |
Generators of the group modulo torsion |
j |
15124197817/1390532 |
j-invariant |
L |
17.215250797026 |
L(r)(E,1)/r! |
Ω |
1.17650128141 |
Real period |
R |
3.6581453417145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4862a1 |
Quadratic twists by: 5 |