Atkin-Lehner |
2+ 3+ 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550i |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
47210859375000000 = 26 · 3 · 513 · 173 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 5 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-95650,4472500] |
[a1,a2,a3,a4,a6] |
Generators |
[300:1550:1] |
Generators of the group modulo torsion |
j |
6193921595708449/3021495000000 |
j-invariant |
L |
5.5304928627341 |
L(r)(E,1)/r! |
Ω |
0.31829480442548 |
Real period |
R |
1.4479482565721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999584272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20910m1 |
Quadratic twists by: 5 |