Atkin-Lehner |
2+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7774a |
Isogeny class |
Conductor |
7774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-66387930986 = -1 · 2 · 137 · 232 |
Discriminant |
Eigenvalues |
2+ -1 -3 -3 -2 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2369,-47081] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1863:1] |
Generators of the group modulo torsion |
j |
-304821217/13754 |
j-invariant |
L |
1.287550552225 |
L(r)(E,1)/r! |
Ω |
0.34124073914071 |
Real period |
R |
0.47164303838224 |
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 |
62192o1 69966bh1 598c1 |
Quadratic twists by: -4 -3 13 |