Atkin-Lehner |
3- 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
29601f |
Isogeny class |
Conductor |
29601 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9257446341 = 39 · 112 · 132 · 23 |
Discriminant |
Eigenvalues |
1 3- 2 -4 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29781,-1970708] |
[a1,a2,a3,a4,a6] |
Generators |
[632:14894:1] |
Generators of the group modulo torsion |
j |
4007026517395537/12698829 |
j-invariant |
L |
6.125667967105 |
L(r)(E,1)/r! |
Ω |
0.3634244438734 |
Real period |
R |
4.2138524735824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867c2 |
Quadratic twists by: -3 |