Atkin-Lehner |
2+ 3+ 7- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274i |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3483606 = 2 · 3 · 72 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1309,-18785] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1445:1] |
Generators of the group modulo torsion |
j |
248348160936793/3483606 |
j-invariant |
L |
4.0093240673582 |
L(r)(E,1)/r! |
Ω |
0.79363683626495 |
Real period |
R |
5.0518371680265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822bt2 |
Quadratic twists by: -3 |