Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47450c |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
445824 |
Modular degree for the optimal curve |
Δ |
-5505579015625000 = -1 · 23 · 59 · 136 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -6 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4225,3570125] |
[a1,a2,a3,a4,a6] |
Generators |
[507:51376:27] |
Generators of the group modulo torsion |
j |
533609071631/352357057000 |
j-invariant |
L |
5.1395482407849 |
L(r)(E,1)/r! |
Ω |
0.33395824616684 |
Real period |
R |
3.8474482212948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9490i1 |
Quadratic twists by: 5 |