Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11011l |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
118800 |
Modular degree for the optimal curve |
Δ |
-1337668323316656331 = -1 · 75 · 118 · 135 |
Discriminant |
Eigenvalues |
1 2 1 7- 11- 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-163352,-61241737] |
[a1,a2,a3,a4,a6] |
Generators |
[15538:1928473:1] |
Generators of the group modulo torsion |
j |
-2248846192681/6240321451 |
j-invariant |
L |
8.1186738549609 |
L(r)(E,1)/r! |
Ω |
0.11012210117112 |
Real period |
R |
4.9149527470693 |
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 |
99099bt1 77077z1 11011g1 |
Quadratic twists by: -3 -7 -11 |