Atkin-Lehner |
2- 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270cm |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2254008433965750 = 2 · 32 · 53 · 73 · 112 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-460711,-120379165] |
[a1,a2,a3,a4,a6] |
Generators |
[-670020:384115:1728] |
Generators of the group modulo torsion |
j |
10814576472869451368689/2254008433965750 |
j-invariant |
L |
10.531076650687 |
L(r)(E,1)/r! |
Ω |
0.18325162568333 |
Real period |
R |
9.5779747395749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bz4 |
Quadratic twists by: -3 |