Atkin-Lehner |
2- 3- 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29670v |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-589743172500 = -1 · 22 · 3 · 54 · 23 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,509,36725] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:91:1] |
Generators of the group modulo torsion |
j |
14582222854991/589743172500 |
j-invariant |
L |
10.093589851708 |
L(r)(E,1)/r! |
Ω |
0.69465298439947 |
Real period |
R |
3.6326014853425 |
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 |
89010t3 |
Quadratic twists by: -3 |