Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55176q |
Isogeny class |
Conductor |
55176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-20473689544704 = -1 · 211 · 33 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- -4 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6736,48288] |
[a1,a2,a3,a4,a6] |
Generators |
[51:726:1] |
Generators of the group modulo torsion |
j |
9314926/5643 |
j-invariant |
L |
8.8315038998924 |
L(r)(E,1)/r! |
Ω |
0.41951305294111 |
Real period |
R |
1.7543164704063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110352h1 5016d1 |
Quadratic twists by: -4 -11 |