Atkin-Lehner |
2- 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65450bm |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-844435807960937500 = -1 · 22 · 59 · 76 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8260555,-9136268553] |
[a1,a2,a3,a4,a6] |
Generators |
[373027040538564:15811097856159915:87292033856] |
Generators of the group modulo torsion |
j |
-31916944266586592877/432351133676 |
j-invariant |
L |
9.4260240066499 |
L(r)(E,1)/r! |
Ω |
0.044526330273467 |
Real period |
R |
17.641292146462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65450n1 |
Quadratic twists by: 5 |