Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710i |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14758608956850 = 2 · 34 · 52 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20693,1122147] |
[a1,a2,a3,a4,a6] |
Generators |
[61:272:1] |
Generators of the group modulo torsion |
j |
553185473329/8330850 |
j-invariant |
L |
3.2324605924033 |
L(r)(E,1)/r! |
Ω |
0.70335375603983 |
Real period |
R |
1.1489455217091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610y2 |
Quadratic twists by: -11 |