Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510r |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-5.184501316737E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17852130,-31026050924] |
[a1,a2,a3,a4,a6] |
Generators |
[144083:54595421:1] |
Generators of the group modulo torsion |
j |
-7336316844655213969/604492922880000 |
j-invariant |
L |
3.9502906979251 |
L(r)(E,1)/r! |
Ω |
0.036551391320464 |
Real period |
R |
6.7546859284838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bs1 6930k1 |
Quadratic twists by: -3 -7 |