Atkin-Lehner |
2- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37004b |
Isogeny class |
Conductor |
37004 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-202677719104256 = -1 · 28 · 113 · 296 |
Discriminant |
Eigenvalues |
2- -1 -3 2 11- -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65037,-6398951] |
[a1,a2,a3,a4,a6] |
Generators |
[735:-18502:1] |
Generators of the group modulo torsion |
j |
-199794688/1331 |
j-invariant |
L |
2.3995607389866 |
L(r)(E,1)/r! |
Ω |
0.14941906448408 |
Real period |
R |
0.89218153255053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44a2 |
Quadratic twists by: 29 |