Atkin-Lehner |
3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72675bc |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
541452227431640625 = 312 · 510 · 172 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1023192,397047091] |
[a1,a2,a3,a4,a6] |
Generators |
[21670:1047313:8] |
Generators of the group modulo torsion |
j |
10400346394682041/47534900625 |
j-invariant |
L |
6.1997443098429 |
L(r)(E,1)/r! |
Ω |
0.2937576342456 |
Real period |
R |
5.276241010943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002429 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24225a2 14535e2 |
Quadratic twists by: -3 5 |