Atkin-Lehner |
3+ 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12597b |
Isogeny class |
Conductor |
12597 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2571676151733 = 38 · 13 · 174 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 2 -4 0 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25517,-1577626] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:79:1] |
Generators of the group modulo torsion |
j |
1837441904940946513/2571676151733 |
j-invariant |
L |
2.2840972373143 |
L(r)(E,1)/r! |
Ω |
0.3777709559935 |
Real period |
R |
1.5115622317413 |
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 |
37791g4 |
Quadratic twists by: -3 |