Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248bt |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
5831626752 = 212 · 38 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,2410] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:54:1] [-19:72:1] |
Generators of the group modulo torsion |
j |
4826809/1953 |
j-invariant |
L |
6.6993596500718 |
L(r)(E,1)/r! |
Ω |
1.223259651245 |
Real period |
R |
1.369161412962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1953f1 124992fk1 10416bi1 |
Quadratic twists by: -4 8 -3 |