Atkin-Lehner |
3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67275q |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11896874208984375 = 311 · 510 · 13 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -2 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3788105,2838737522] |
[a1,a2,a3,a4,a6] |
Generators |
[654:24985:1] |
Generators of the group modulo torsion |
j |
527766810707930689/1044444375 |
j-invariant |
L |
2.7604449514504 |
L(r)(E,1)/r! |
Ω |
0.34516493321741 |
Real period |
R |
0.99968329840135 |
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 |
22425r2 13455l2 |
Quadratic twists by: -3 5 |