Atkin-Lehner |
7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11011g |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-755078895571 = -1 · 75 · 112 · 135 |
Discriminant |
Eigenvalues |
-1 2 1 7+ 11- 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1350,45398] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:262:1] |
Generators of the group modulo torsion |
j |
-2248846192681/6240321451 |
j-invariant |
L |
4.1846124794716 |
L(r)(E,1)/r! |
Ω |
0.79255999052721 |
Real period |
R |
1.055973687667 |
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 |
99099bf1 77077q1 11011l1 |
Quadratic twists by: -3 -7 -11 |