Atkin-Lehner |
2- 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71910bg |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-35647225200 = -1 · 24 · 38 · 52 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-392,9659] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-89:1] |
Generators of the group modulo torsion |
j |
-9116230969/48898800 |
j-invariant |
L |
11.711975857784 |
L(r)(E,1)/r! |
Ω |
1.0036908587003 |
Real period |
R |
0.72930672301323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970e1 |
Quadratic twists by: -3 |