Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510bu |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-32459938121318400 = -1 · 216 · 37 · 52 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15426,8632980] |
[a1,a2,a3,a4,a6] |
Generators |
[76:3162:1] |
Generators of the group modulo torsion |
j |
4733169839/378470400 |
j-invariant |
L |
5.0934897949809 |
L(r)(E,1)/r! |
Ω |
0.28251110163602 |
Real period |
R |
2.253667982197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bx1 6930g1 |
Quadratic twists by: -3 -7 |