Atkin-Lehner |
2+ 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878m |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
15864532992 = 212 · 37 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1188,-14256] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:12:1] |
Generators of the group modulo torsion |
j |
254478514753/21762048 |
j-invariant |
L |
3.2757518141392 |
L(r)(E,1)/r! |
Ω |
0.81759488352179 |
Real period |
R |
2.0032854168735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626t1 |
Quadratic twists by: -3 |