Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31164n |
Isogeny class |
Conductor |
31164 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
92232 |
Modular degree for the optimal curve |
Δ |
-434648596291056 = -1 · 24 · 321 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 -5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11030,902201] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:729:1] |
Generators of the group modulo torsion |
j |
189275678740736/554398719759 |
j-invariant |
L |
7.2766867883584 |
L(r)(E,1)/r! |
Ω |
0.37259814780052 |
Real period |
R |
0.30999339523398 |
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 |
124656cn1 93492n1 31164c1 |
Quadratic twists by: -4 -3 -7 |