Atkin-Lehner |
2+ 3+ 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29274g |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
896311332 = 22 · 38 · 72 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-765,-8343] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:19:1] [-16:19:1] |
Generators of the group modulo torsion |
j |
49612916193625/896311332 |
j-invariant |
L |
5.5415891629807 |
L(r)(E,1)/r! |
Ω |
0.90862888601482 |
Real period |
R |
3.0494238342377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822bw1 |
Quadratic twists by: -3 |