Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232t |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9114771456 = -1 · 213 · 33 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,309,4090] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:56:1] |
Generators of the group modulo torsion |
j |
29503629/82418 |
j-invariant |
L |
5.1186841820842 |
L(r)(E,1)/r! |
Ω |
0.91237396652411 |
Real period |
R |
0.70128647488498 |
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 |
3654q2 116928cr2 29232r2 |
Quadratic twists by: -4 8 -3 |