Atkin-Lehner |
2+ 3+ 13+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38454b |
Isogeny class |
Conductor |
38454 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
188568828512131392 = 26 · 38 · 133 · 172 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -6 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-774035,260957037] |
[a1,a2,a3,a4,a6] |
Generators |
[654:5589:1] |
Generators of the group modulo torsion |
j |
51286892466515294877625/188568828512131392 |
j-invariant |
L |
2.9286246400422 |
L(r)(E,1)/r! |
Ω |
0.32055940253834 |
Real period |
R |
1.1419976363406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115362k2 |
Quadratic twists by: -3 |