Atkin-Lehner |
3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
11169a |
Isogeny class |
Conductor |
11169 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-24426603 = -1 · 39 · 17 · 73 |
Discriminant |
Eigenvalues |
0 3+ -2 -1 -4 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,54,182] |
[a1,a2,a3,a4,a6] |
Generators |
[0:13:1] [10:41:1] |
Generators of the group modulo torsion |
j |
884736/1241 |
j-invariant |
L |
4.7097898381064 |
L(r)(E,1)/r! |
Ω |
1.4387481629205 |
Real period |
R |
1.6367665862196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11169b1 |
Quadratic twists by: -3 |