Atkin-Lehner |
7+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7777b |
Isogeny class |
Conductor |
7777 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
868 |
Modular degree for the optimal curve |
Δ |
-2667511 = -1 · 74 · 11 · 101 |
Discriminant |
Eigenvalues |
1 0 -2 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7,-80] |
[a1,a2,a3,a4,a6] |
j |
34965783/2667511 |
j-invariant |
L |
0.60914755212559 |
L(r)(E,1)/r! |
Ω |
1.2182951042512 |
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 |
124432l1 69993d1 54439f1 85547h1 |
Quadratic twists by: -4 -3 -7 -11 |