Atkin-Lehner |
3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72675bh |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3166387294921875 = 310 · 510 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6590255,6513452372] |
[a1,a2,a3,a4,a6] |
Generators |
[1503:625:1] [-5418:828905:8] |
Generators of the group modulo torsion |
j |
2778962932192044961/277981875 |
j-invariant |
L |
6.0174732488002 |
L(r)(E,1)/r! |
Ω |
0.34530591587204 |
Real period |
R |
2.1783123935305 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999543 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24225k4 14535g4 |
Quadratic twists by: -3 5 |