Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31164q |
Isogeny class |
Conductor |
31164 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-44348936921856 = -1 · 28 · 34 · 79 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 1 6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7317,398439] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1029:1] |
Generators of the group modulo torsion |
j |
-4194304/4293 |
j-invariant |
L |
5.7896732163822 |
L(r)(E,1)/r! |
Ω |
0.58255558265508 |
Real period |
R |
1.2423006037456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656cy1 93492q1 31164h1 |
Quadratic twists by: -4 -3 -7 |