Atkin-Lehner |
3- 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45825n |
Isogeny class |
Conductor |
45825 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
214400 |
Modular degree for the optimal curve |
Δ |
637099962890625 = 35 · 59 · 134 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- -4 0 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22701,-510077] |
[a1,a2,a3,a4,a6] |
Generators |
[-434:6213:8] |
Generators of the group modulo torsion |
j |
662370737813/326195181 |
j-invariant |
L |
6.4369886411478 |
L(r)(E,1)/r! |
Ω |
0.40899995330162 |
Real period |
R |
3.1476720665512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45825i1 |
Quadratic twists by: 5 |