Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248z |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-4.8344508133419E+23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 5 -1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55395387,-162180887958] |
[a1,a2,a3,a4,a6] |
Generators |
[17756104128937868685:-9308947628534158067778:64553588520875] |
Generators of the group modulo torsion |
j |
-233181060948366864507/5996473317588992 |
j-invariant |
L |
6.0794724608832 |
L(r)(E,1)/r! |
Ω |
0.02762750776224 |
Real period |
R |
27.506428163927 |
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 |
3906m1 124992do1 31248ba1 |
Quadratic twists by: -4 8 -3 |