Atkin-Lehner |
2+ 3- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12546d |
Isogeny class |
Conductor |
12546 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-293689314 = -1 · 2 · 36 · 173 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 3 -7 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48528,4126842] |
[a1,a2,a3,a4,a6] |
Generators |
[-5543430:65537687:27000] |
Generators of the group modulo torsion |
j |
-17337177545824513/402866 |
j-invariant |
L |
4.4891541182127 |
L(r)(E,1)/r! |
Ω |
1.2535050011115 |
Real period |
R |
10.743844135202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
100368bs2 1394g2 |
Quadratic twists by: -4 -3 |