Atkin-Lehner |
2+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93248k |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
3055550464 = 221 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ 1 1 3 2 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,-1313] |
[a1,a2,a3,a4,a6] |
j |
24137569/11656 |
j-invariant |
L |
4.5233004621411 |
L(r)(E,1)/r! |
Ω |
1.1308251286244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93248bb1 2914g1 |
Quadratic twists by: -4 8 |