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 |
515565644841 = 34 · 132 · 172 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 2 -4 0 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2052,-10164] |
[a1,a2,a3,a4,a6] |
Generators |
[63:308:1] |
Generators of the group modulo torsion |
j |
955584307409473/515565644841 |
j-invariant |
L |
2.2840972373143 |
L(r)(E,1)/r! |
Ω |
0.75554191198701 |
Real period |
R |
3.0231244634825 |
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 |
37791g2 |
Quadratic twists by: -3 |