Atkin-Lehner |
3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105525u |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-82456905234375 = -1 · 38 · 57 · 74 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10458,-149009] |
[a1,a2,a3,a4,a6] |
Generators |
[350:6629:1] |
Generators of the group modulo torsion |
j |
11104492391/7239015 |
j-invariant |
L |
8.037067885444 |
L(r)(E,1)/r! |
Ω |
0.34717836393989 |
Real period |
R |
2.8937099508842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35175i1 21105j1 |
Quadratic twists by: -3 5 |