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 |
-113220490412427552 = -1 · 25 · 310 · 72 · 114 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16254,16165300] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:3197:1] |
Generators of the group modulo torsion |
j |
651421248244703/155309314694688 |
j-invariant |
L |
4.3112169055527 |
L(r)(E,1)/r! |
Ω |
0.25759662656671 |
Real period |
R |
1.04601935277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854k4 |
Quadratic twists by: -3 |