Atkin-Lehner |
7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11011h |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28512 |
Modular degree for the optimal curve |
Δ |
-2360305638691 = -1 · 7 · 1110 · 13 |
Discriminant |
Eigenvalues |
2 2 1 7+ 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4880,152239] |
[a1,a2,a3,a4,a6] |
Generators |
[923147378:6684451667:10360232] |
Generators of the group modulo torsion |
j |
-495616/91 |
j-invariant |
L |
12.063014562332 |
L(r)(E,1)/r! |
Ω |
0.78540993682677 |
Real period |
R |
15.358876933834 |
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 |
99099bk1 77077s1 11011m1 |
Quadratic twists by: -3 -7 -11 |