Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
693d |
Isogeny class |
Conductor |
693 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9844860327687 = -1 · 38 · 7 · 118 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,279,150880] |
[a1,a2,a3,a4,a6] |
j |
3288008303/13504609503 |
j-invariant |
L |
2.2826659690383 |
L(r)(E,1)/r! |
Ω |
0.57066649225957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11088bh6 44352cf5 231a6 17325u6 |
Quadratic twists by: -4 8 -3 5 |