Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19404ba |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2852924248944 = -1 · 24 · 39 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2499,65513] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1323:1] |
Generators of the group modulo torsion |
j |
1257728/2079 |
j-invariant |
L |
6.4568725234543 |
L(r)(E,1)/r! |
Ω |
0.54984350730113 |
Real period |
R |
1.4678886896263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616fl1 6468e1 2772m1 |
Quadratic twists by: -4 -3 -7 |