Atkin-Lehner |
3- 7+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20769c |
Isogeny class |
Conductor |
20769 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1651280883 = 3 · 7 · 23 · 434 |
Discriminant |
Eigenvalues |
1 3- 2 7+ -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2615,-51637] |
[a1,a2,a3,a4,a6] |
Generators |
[-58381974:37503089:2000376] |
Generators of the group modulo torsion |
j |
1976514626138473/1651280883 |
j-invariant |
L |
8.0399368997727 |
L(r)(E,1)/r! |
Ω |
0.66768759788764 |
Real period |
R |
12.041465088177 |
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 |
62307c4 |
Quadratic twists by: -3 |