Atkin-Lehner |
2- 5+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
43450u |
Isogeny class |
Conductor |
43450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-244710400000000 = -1 · 216 · 58 · 112 · 79 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5688,-771008] |
[a1,a2,a3,a4,a6] |
Generators |
[212:-2856:1] |
Generators of the group modulo torsion |
j |
-1302528459961/15661465600 |
j-invariant |
L |
6.0415156313008 |
L(r)(E,1)/r! |
Ω |
0.23668550477357 |
Real period |
R |
0.79767184584691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8690d1 |
Quadratic twists by: 5 |