Atkin-Lehner |
2+ 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710l |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-23420659063131000 = -1 · 23 · 36 · 53 · 113 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,28268,7143976] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:2204:1] |
Generators of the group modulo torsion |
j |
1876752050077549/17596287801000 |
j-invariant |
L |
4.2857678249492 |
L(r)(E,1)/r! |
Ω |
0.27850812124882 |
Real period |
R |
0.85490581547854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61710bu2 |
Quadratic twists by: -11 |