Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19404y |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-15532587577584 = -1 · 24 · 37 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6027,-59339] |
[a1,a2,a3,a4,a6] |
Generators |
[203:3087:1] |
Generators of the group modulo torsion |
j |
17643776/11319 |
j-invariant |
L |
5.0618907321198 |
L(r)(E,1)/r! |
Ω |
0.40021912078551 |
Real period |
R |
0.26349579878189 |
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 |
77616fe1 6468l1 2772l1 |
Quadratic twists by: -4 -3 -7 |