Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478s |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
2179976570969269248 = 210 · 39 · 112 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 11+ -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4166910,3274200468] |
[a1,a2,a3,a4,a6] |
Generators |
[1089:4653:1] |
Generators of the group modulo torsion |
j |
233301213501481/63562752 |
j-invariant |
L |
6.219987050573 |
L(r)(E,1)/r! |
Ω |
0.25421369679486 |
Real period |
R |
3.0584441010896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23826bn1 3762o1 |
Quadratic twists by: -3 -19 |