Atkin-Lehner |
2- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23408g |
Isogeny class |
Conductor |
23408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-20038746112 = -1 · 216 · 7 · 112 · 192 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 11- 0 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,608,3828] |
[a1,a2,a3,a4,a6] |
Generators |
[12:114:1] |
Generators of the group modulo torsion |
j |
6058428767/4892272 |
j-invariant |
L |
4.318279005454 |
L(r)(E,1)/r! |
Ω |
0.78450830623991 |
Real period |
R |
1.376110033223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2926b1 93632t1 |
Quadratic twists by: -4 8 |