Atkin-Lehner |
2+ 3- 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274s |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
642633451276992 = 26 · 3 · 710 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36032,2329934] |
[a1,a2,a3,a4,a6] |
j |
5173345603891608697/642633451276992 |
j-invariant |
L |
0.9888718308089 |
L(r)(E,1)/r! |
Ω |
0.49443591540427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822z2 |
Quadratic twists by: -3 |