Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11352k |
Isogeny class |
Conductor |
11352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
3995904 = 28 · 3 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5204,146244] |
[a1,a2,a3,a4,a6] |
Generators |
[24:186:1] |
Generators of the group modulo torsion |
j |
60894639222352/15609 |
j-invariant |
L |
2.4704895363145 |
L(r)(E,1)/r! |
Ω |
1.9756828463883 |
Real period |
R |
2.5008968831518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22704l1 90816bf1 34056d1 124872i1 |
Quadratic twists by: -4 8 -3 -11 |