Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9386f |
Isogeny class |
Conductor |
9386 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
-5904118527416954 = -1 · 2 · 137 · 196 |
Discriminant |
Eigenvalues |
2+ 3 -1 1 -2 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76780,9003842] |
[a1,a2,a3,a4,a6] |
Generators |
[3441:28784:27] |
Generators of the group modulo torsion |
j |
-1064019559329/125497034 |
j-invariant |
L |
5.3161827881122 |
L(r)(E,1)/r! |
Ω |
0.4138791049641 |
Real period |
R |
0.91748372279135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75088bj2 84474ce2 122018bh2 26b2 |
Quadratic twists by: -4 -3 13 -19 |