Atkin-Lehner |
2+ 3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562j |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
564086060246016 = 210 · 38 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54306,4748692] |
[a1,a2,a3,a4,a6] |
Generators |
[84:838:1] |
Generators of the group modulo torsion |
j |
24296523029999137/773780603904 |
j-invariant |
L |
4.3112169055527 |
L(r)(E,1)/r! |
Ω |
0.51519325313342 |
Real period |
R |
2.09203870554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7854k2 |
Quadratic twists by: -3 |