Atkin-Lehner |
2- 3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674br |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
232126836780851712 = 29 · 38 · 72 · 172 · 474 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-171896,-14624773] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:3481:1] |
Generators of the group modulo torsion |
j |
770532795052389433/318418157449728 |
j-invariant |
L |
8.9660386231561 |
L(r)(E,1)/r! |
Ω |
0.24316852263175 |
Real period |
R |
0.51210704688172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558j2 |
Quadratic twists by: -3 |