Atkin-Lehner |
2- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050br |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-4850413568000000 = -1 · 218 · 56 · 72 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17280,-3458653] |
[a1,a2,a3,a4,a6] |
Generators |
[413:7521:1] |
Generators of the group modulo torsion |
j |
-36518366116233/310426468352 |
j-invariant |
L |
9.1406324062289 |
L(r)(E,1)/r! |
Ω |
0.18283009348102 |
Real period |
R |
2.7775127266424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2002a1 |
Quadratic twists by: 5 |