Atkin-Lehner |
3- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7821a |
Isogeny class |
Conductor |
7821 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-6968511 = -1 · 36 · 112 · 79 |
Discriminant |
Eigenvalues |
1 3- -2 4 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18,135] |
[a1,a2,a3,a4,a6] |
j |
-912673/9559 |
j-invariant |
L |
2.0126394876553 |
L(r)(E,1)/r! |
Ω |
2.0126394876553 |
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 |
125136w1 869c1 86031i1 |
Quadratic twists by: -4 -3 -11 |