Atkin-Lehner |
11- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
11033b |
Isogeny class |
Conductor |
11033 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-105150172292891 = -1 · 116 · 172 · 593 |
Discriminant |
Eigenvalues |
-1 -3 1 1 11- -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2328,490878] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:355:1] [92:1169:1] |
Generators of the group modulo torsion |
j |
1395878189218479/105150172292891 |
j-invariant |
L |
3.0079925739604 |
L(r)(E,1)/r! |
Ω |
0.45515357992363 |
Real period |
R |
0.18357616629264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99297c1 121363e1 |
Quadratic twists by: -3 -11 |