Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650ca |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
86 |
Product of Tamagawa factors cp |
deg |
5721408 |
Modular degree for the optimal curve |
Δ |
-1.0116623177753E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5121708,-15942181299] |
[a1,a2,a3,a4,a6] |
Generators |
[7469:598377:1] |
Generators of the group modulo torsion |
j |
-594330684630594022533865/4046649271101394255872 |
j-invariant |
L |
7.1838802494471 |
L(r)(E,1)/r! |
Ω |
0.044592823460006 |
Real period |
R |
1.8732496574348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650bm1 |
Quadratic twists by: 5 |