Atkin-Lehner |
3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2331b |
Isogeny class |
Conductor |
2331 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-28691530749 = -1 · 37 · 7 · 374 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,751,-2082] |
[a1,a2,a3,a4,a6] |
Generators |
[12:86:1] |
Generators of the group modulo torsion |
j |
64336588343/39357381 |
j-invariant |
L |
2.1948025739846 |
L(r)(E,1)/r! |
Ω |
0.68366222688583 |
Real period |
R |
0.80259025863629 |
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 |
37296co3 777a4 58275q3 16317j4 |
Quadratic twists by: -4 -3 5 -7 |