Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dp |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.8778076647248E+29 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11+ -6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-295363425,-36938069991594] |
[a1,a2,a3,a4,a6] |
Generators |
[653730:176107221:8] |
Generators of the group modulo torsion |
j |
-2126464142970105856/438611057788643355 |
j-invariant |
L |
3.5214518612969 |
L(r)(E,1)/r! |
Ω |
0.012947356781909 |
Real period |
R |
8.4994469749543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998393282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425cs2 24255bo2 17325k2 |
Quadratic twists by: -3 5 -7 |