Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710w |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-7227968880 = -1 · 24 · 3 · 5 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,481,482] |
[a1,a2,a3,a4,a6] |
Generators |
[35:228:1] |
Generators of the group modulo torsion |
j |
6967871/4080 |
j-invariant |
L |
5.1224846630249 |
L(r)(E,1)/r! |
Ω |
0.80227264044945 |
Real period |
R |
3.1924837048369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
510f1 |
Quadratic twists by: -11 |