Atkin-Lehner |
2+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29450a |
Isogeny class |
Conductor |
29450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
640777657682000000 = 27 · 56 · 192 · 316 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 2 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6145551,5863298498] |
[a1,a2,a3,a4,a6] |
Generators |
[1732:19521:1] |
Generators of the group modulo torsion |
j |
1642805188477494496993/41009770091648 |
j-invariant |
L |
2.696879336565 |
L(r)(E,1)/r! |
Ω |
0.26715490215476 |
Real period |
R |
5.0474075429893 |
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 |
1178a2 |
Quadratic twists by: 5 |