Atkin-Lehner |
3+ 7+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
20769a |
Isogeny class |
Conductor |
20769 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17558297589483 = 38 · 76 · 232 · 43 |
Discriminant |
Eigenvalues |
1 3+ 4 7+ 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-120738,16096365] |
[a1,a2,a3,a4,a6] |
Generators |
[-21580:286905:64] |
Generators of the group modulo torsion |
j |
194653073367598903849/17558297589483 |
j-invariant |
L |
6.0846861835247 |
L(r)(E,1)/r! |
Ω |
0.6612136809896 |
Real period |
R |
4.6011496422897 |
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 |
62307a2 |
Quadratic twists by: -3 |