Atkin-Lehner |
2+ 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7866c |
Isogeny class |
Conductor |
7866 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-6210262062 = -1 · 2 · 39 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 4 2 2 -5 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1365,20123] |
[a1,a2,a3,a4,a6] |
j |
-14295828483/315514 |
j-invariant |
L |
2.6809352394613 |
L(r)(E,1)/r! |
Ω |
1.3404676197307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62928r1 7866n1 |
Quadratic twists by: -4 -3 |