Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650bq |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-72504320000000 = -1 · 216 · 57 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5713,-442583] |
[a1,a2,a3,a4,a6] |
Generators |
[162:-1781:1] |
Generators of the group modulo torsion |
j |
-26934258841/94699520 |
j-invariant |
L |
10.757867082424 |
L(r)(E,1)/r! |
Ω |
0.25203538840161 |
Real period |
R |
0.66693679101522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330f1 41650bi1 |
Quadratic twists by: 5 -7 |